1
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Simonsen A, Sánchez-Heredia JD, Saarinen SA, Ardenkjær-Larsen JH, Schliesser A, Polzik ES. Magnetic resonance imaging with optical preamplification and detection. Sci Rep 2019; 9:18173. [PMID: 31796770 PMCID: PMC6890707 DOI: 10.1038/s41598-019-54200-3] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/04/2019] [Accepted: 11/05/2019] [Indexed: 11/19/2022] Open
Abstract
Magnetic resonance (MR) imaging relies on conventional electronics that is increasingly challenged by the push for stronger magnetic fields and higher channel count. These problems can be avoided by utilizing optical technologies. As a replacement for the standard low-noise preamplifier, we have implemented a new transduction principle that upconverts an MR signal to the optical domain and imaged a phantom in a clinical 3 T scanner with signal-to-noise comparable to classical induction detection.
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Affiliation(s)
- A Simonsen
- Niels Bohr Institute, University of Copenhagen, København, Denmark.
| | - J D Sánchez-Heredia
- Department of Health Technology, Technical University of Denmark, Lyngby, Denmark
| | - S A Saarinen
- Niels Bohr Institute, University of Copenhagen, København, Denmark.,Center for Hybrid Quantum Networks (Hy-Q), University of Copenhagen, København, Denmark
| | - J H Ardenkjær-Larsen
- Department of Health Technology, Technical University of Denmark, Lyngby, Denmark
| | - A Schliesser
- Niels Bohr Institute, University of Copenhagen, København, Denmark.,Center for Hybrid Quantum Networks (Hy-Q), University of Copenhagen, København, Denmark
| | - E S Polzik
- Niels Bohr Institute, University of Copenhagen, København, Denmark
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2
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Khalili FY, Polzik ES. Overcoming the Standard Quantum Limit in Gravitational Wave Detectors Using Spin Systems with a Negative Effective Mass. Phys Rev Lett 2018; 121:031101. [PMID: 30085801 DOI: 10.1103/physrevlett.121.031101] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/29/2017] [Revised: 05/11/2018] [Indexed: 06/08/2023]
Abstract
Quantum backaction (QBA) of a measurement limits the precision of observation of the motion of a free mass. This profound effect, dubbed the "Heisenberg microscope" in the early days of quantum mechanics, leads to the standard quantum limit (SQL) stemming from the balance between the measurement sensitivity and the QBA. We consider the measurement of motion of a free mass performed in a quantum reference frame with an effective negative mass which is not limited by QBA. As a result, the disturbance on the motion of a free mass can be measured beyond the SQL. QBA-limited detection of motion for a free mass is extremely challenging, but there are devices where this effect is expected to play an essential role, namely, gravitational wave detectors (GWDs) such as LIGO and Virgo. Recent reports on the observations of gravitational waves have opened new horizons in cosmology and astrophysics. We present a general idea and a detailed numerical analysis for QBA-evading measurement of the gravitational wave effect on the GWD mirrors, which can be considered free masses under relevant conditions. The measurement is performed by two entangled beams of light, probing the GWD and an auxiliary atomic spin ensemble, respectively. The latter plays the role of a free negative mass. We show that under realistic conditions the sensitivity of the GWD in m/sqrt[Hz] can be increased by 6 dB over the entire frequency band of interest.
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Affiliation(s)
- F Ya Khalili
- Faculty of Physics, M.V. Lomonosov Moscow State University, 119991 Moscow, Russia and Russian Quantum Center, Skolkovo 143025, Russia
| | - E S Polzik
- Niels Bohr Institute, University of Copenhagen, Copenhagen 2100, Denmark
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3
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Tsaturyan Y, Barg A, Polzik ES, Schliesser A. Ultracoherent nanomechanical resonators via soft clamping and dissipation dilution. Nat Nanotechnol 2017; 12:776-783. [PMID: 28604707 PMCID: PMC6485342 DOI: 10.1038/nnano.2017.101] [Citation(s) in RCA: 94] [Impact Index Per Article: 13.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/03/2016] [Accepted: 04/21/2017] [Indexed: 05/05/2023]
Abstract
The small mass and high coherence of nanomechanical resonators render them the ultimate mechanical probe, with applications that range from protein mass spectrometry and magnetic resonance force microscopy to quantum optomechanics. A notorious challenge in these experiments is the thermomechanical noise related to the dissipation through internal or external loss channels. Here we introduce a novel approach to define the nanomechanical modes, which simultaneously provides a strong spatial confinement, full isolation from the substrate and dilution of the resonator material's intrinsic dissipation by five orders of magnitude. It is based on a phononic bandgap structure that localizes the mode but does not impose the boundary conditions of a rigid clamp. The reduced curvature in the highly tensioned silicon nitride resonator enables a mechanical Q > 108 at 1 MHz to yield the highest mechanical Qf products (>1014 Hz) yet reported at room temperature.The corresponding coherence times approach those of optically trapped dielectric particles. Extrapolation to 4.2 K predicts quanta per milliseconds heating rates, similar to those of trapped ions.
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Affiliation(s)
- Y. Tsaturyan
- Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - A. Barg
- Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - E. S. Polzik
- Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - A. Schliesser
- Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
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4
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Sørensen HL, Béguin JB, Kluge KW, Iakoupov I, Sørensen AS, Müller JH, Polzik ES, Appel J. Coherent Backscattering of Light Off One-Dimensional Atomic Strings. Phys Rev Lett 2016; 117:133604. [PMID: 27715084 DOI: 10.1103/physrevlett.117.133604] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2016] [Indexed: 06/06/2023]
Abstract
We present the first experimental realization of coherent Bragg scattering off a one-dimensional system-two strings of atoms strongly coupled to a single photonic mode-realized by trapping atoms in the evanescent field of a tapered optical fiber, which also guides the probe light. We report nearly 12% power reflection from strings containing only about 1000 cesium atoms, an enhancement of 2 orders of magnitude compared to reflection from randomly positioned atoms. This result paves the road towards collective strong coupling in 1D atom-photon systems. Our approach also allows for a straightforward fiber connection between several distant 1D atomic crystals.
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Affiliation(s)
- H L Sørensen
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - J-B Béguin
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - K W Kluge
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - I Iakoupov
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - A S Sørensen
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - J H Müller
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - E S Polzik
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - J Appel
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
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5
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Borregaard J, Zugenmaier M, Petersen JM, Shen H, Vasilakis G, Jensen K, Polzik ES, Sørensen AS. Scalable photonic network architecture based on motional averaging in room temperature gas. Nat Commun 2016; 7:11356. [PMID: 27076381 PMCID: PMC4834638 DOI: 10.1038/ncomms11356] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/07/2015] [Accepted: 03/17/2016] [Indexed: 11/09/2022] Open
Abstract
Quantum interfaces between photons and atomic ensembles have emerged as powerful tools for quantum technologies. Efficient storage and retrieval of single photons requires long-lived collective atomic states, which is typically achieved with immobilized atoms. Thermal atomic vapours, which present a simple and scalable resource, have only been used for continuous variable processing or for discrete variable processing on short timescales where atomic motion is negligible. Here we develop a theory based on motional averaging to enable room temperature discrete variable quantum memories and coherent single-photon sources. We demonstrate the feasibility of this approach to scalable quantum memories with a proof-of-principle experiment with room temperature atoms contained in microcells with spin-protecting coating, placed inside an optical cavity. The experimental conditions correspond to a few photons per pulse and a long coherence time of the forward scattered photons is demonstrated, which is the essential feature of the motional averaging.
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Affiliation(s)
- J Borregaard
- The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, Copenhagen Ø DK-2100, Denmark.,Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
| | - M Zugenmaier
- The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, Copenhagen Ø DK-2100, Denmark
| | - J M Petersen
- The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, Copenhagen Ø DK-2100, Denmark
| | - H Shen
- The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, Copenhagen Ø DK-2100, Denmark
| | - G Vasilakis
- The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, Copenhagen Ø DK-2100, Denmark
| | - K Jensen
- The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, Copenhagen Ø DK-2100, Denmark
| | - E S Polzik
- The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, Copenhagen Ø DK-2100, Denmark
| | - A S Sørensen
- The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, Copenhagen Ø DK-2100, Denmark
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6
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Béguin JB, Bookjans EM, Christensen SL, Sørensen HL, Müller JH, Polzik ES, Appel J. Generation and detection of a sub-Poissonian atom number distribution in a one-dimensional optical lattice. Phys Rev Lett 2014; 113:263603. [PMID: 25615331 DOI: 10.1103/physrevlett.113.263603] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/08/2014] [Indexed: 06/04/2023]
Abstract
We demonstrate preparation and detection of an atom number distribution in a one-dimensional atomic lattice with the variance -14 dB below the Poissonian noise level. A mesoscopic ensemble containing a few thousand atoms is trapped in the evanescent field of a nanofiber. The atom number is measured through dual-color homodyne interferometry with a pW-power shot noise limited probe. Strong coupling of the evanescent probe guided by the nanofiber allows for a real-time measurement with a precision of ±8 atoms on an ensemble of some 10(3) atoms in a one-dimensional trap. The method is very well suited for generating collective atomic entangled or spin-squeezed states via a quantum nondemolition measurement as well as for tomography of exotic atomic states in a one-dimensional lattice.
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Affiliation(s)
- J-B Béguin
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - E M Bookjans
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - S L Christensen
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - H L Sørensen
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - J H Müller
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - E S Polzik
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
| | - J Appel
- QUANTOP, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
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7
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Bagci T, Simonsen A, Schmid S, Villanueva LG, Zeuthen E, Appel J, Taylor JM, Sørensen A, Usami K, Schliesser A, Polzik ES. Optical detection of radio waves through a nanomechanical transducer. Nature 2014; 507:81-5. [DOI: 10.1038/nature13029] [Citation(s) in RCA: 323] [Impact Index Per Article: 32.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/12/2013] [Accepted: 01/13/2014] [Indexed: 11/09/2022]
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8
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Kampel NS, Griesmaier A, Hornbak Steenstrup MP, Kaminski F, Polzik ES, Müller JH. Effect of light assisted collisions on matter wave coherence in superradiant Bose-Einstein condensates. Phys Rev Lett 2012; 108:090401. [PMID: 22463618 DOI: 10.1103/physrevlett.108.090401] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/05/2011] [Revised: 11/24/2011] [Indexed: 05/31/2023]
Abstract
We investigate experimentally the effects of light assisted collisions on the coherence between momentum states in Bose-Einstein condensates. The onset of superradiant Rayleigh scattering serves as a sensitive monitor for matter-wave coherence. A subtle interplay of binary and collective effects leads to a profound asymmetry between the two sides of the atomic resonance and provides far bigger coherence loss rates for a condensate bathed in blue detuned light than previously estimated. We present a simplified quantitative model containing the essential physics to explain our experimental data and point at a new experimental route to study strongly coupled light matter systems.
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Affiliation(s)
- N S Kampel
- Niels Bohr Institute, Danish Quantum Optics Center QUANTOP, Copenhagen University, Denmark.
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9
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Romero-Isart O, Rizzi M, Muschik CA, Polzik ES, Lewenstein M, Sanpera A. Quantum memory assisted probing of dynamical spin correlations. Phys Rev Lett 2012; 108:065302. [PMID: 22401082 DOI: 10.1103/physrevlett.108.065302] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/31/2011] [Indexed: 05/31/2023]
Abstract
We propose a method to probe time-dependent correlations of nontrivial observables in many-body ultracold lattice gases. The scheme uses a quantum nondemolition matter-light interface, first to map the observable of interest on the many-body system into the light and then to store coherently such information into an external system acting as a quantum memory. Correlations of the observable at two (or more) instances of time are retrieved with a single final measurement that includes the readout of the quantum memory. Such a method brings to reach the study of dynamics of many-body systems in and out of equilibrium by means of quantum memories in the field of quantum simulators.
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10
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Taylor JM, Sørensen AS, Marcus CM, Polzik ES. Laser cooling and optical detection of excitations in a LC electrical circuit. Phys Rev Lett 2011; 107:273601. [PMID: 22243310 DOI: 10.1103/physrevlett.107.273601] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/05/2011] [Indexed: 05/31/2023]
Abstract
We explore a method for laser cooling and optical detection of excitations in a room temperature LC electrical circuit. Our approach uses a nanomechanical oscillator as a transducer between optical and electronic excitations. An experimentally feasible system with the oscillator capacitively coupled to the LC and at the same time interacting with light via an optomechanical force is shown to provide strong electromechanical coupling. Conditions for improved sensitivity and quantum limited readout of electrical signals with such an "optical loud speaker" are outlined.
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Affiliation(s)
- J M Taylor
- Joint Quantum Institute/NIST, College Park, Maryland, USA
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11
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Abstract
We establish a method of directly measuring and estimating nonclassicality--operationally defined in terms of the distinguishability of a given state from one with a positive Wigner function. It allows us to certify nonclassicality, based on possibly much fewer measurement settings than necessary for obtaining complete tomographic knowledge, and is at the same time equipped with a full certificate. We find that even from measuring two conjugate variables alone, one may infer the nonclassicality of quantum mechanical modes. This method also provides a practical tool to eventually certify such features in mechanical degrees of freedom in opto-mechanics. The proof of the result is based on Bochner's theorem characterizing classical and quantum characteristic functions and on semidefinite programming. In this joint theoretical-experimental work we present data from experimental optical Fock state preparation.
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Affiliation(s)
- A Mari
- Institute of Physics and Astronomy, University of Potsdam, 14476 Potsdam, Germany
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12
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Brask JB, Rigas I, Polzik ES, Andersen UL, Sørensen AS. Hybrid long-distance entanglement distribution protocol. Phys Rev Lett 2010; 105:160501. [PMID: 21230955 DOI: 10.1103/physrevlett.105.160501] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/06/2010] [Revised: 09/08/2010] [Indexed: 05/30/2023]
Abstract
We propose a hybrid (continuous-discrete variable) quantum repeater protocol for long-distance entanglement distribution. Starting from states created by single-photon detection, we show how entangled coherent state superpositions can be generated by means of homodyne detection. We show that near-deterministic entanglement swapping with such states is possible using only linear optics and homodyne detectors, and we evaluate the performance of our protocol combining these elements.
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Affiliation(s)
- J B Brask
- QUANTOP, The Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen Ø, Denmark
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13
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Wasilewski W, Jensen K, Krauter H, Renema JJ, Balabas MV, Polzik ES. Quantum noise limited and entanglement-assisted magnetometry. Phys Rev Lett 2010; 104:133601. [PMID: 20481884 DOI: 10.1103/physrevlett.104.133601] [Citation(s) in RCA: 93] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/06/2009] [Indexed: 05/24/2023]
Abstract
We study experimentally the fundamental limits of sensitivity of an atomic radio-frequency magnetometer. First, we apply an optimal sequence of state preparation, evolution, and the backaction evading measurement to achieve a nearly projection noise limited sensitivity. We furthermore experimentally demonstrate that Einstein-Podolsky-Rosen entanglement of atoms generated by a measurement enhances the sensitivity to pulsed magnetic fields. We demonstrate this quantum limited sensing in a magnetometer utilizing a truly macroscopic ensemble of 1.5x10(12) atoms which allows us to achieve subfemtotesla/square root(Hz) sensitivity.
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Affiliation(s)
- W Wasilewski
- Niels Bohr Institute, Danish Quantum Optics Center QUANTOP, Copenhagen University, Blegdamsvej 17, 2100 Copenhagen, Denmark
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14
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Balabas MV, Jensen K, Wasilewski W, Krauter H, Madsen LS, Müller JH, Fernholz T, Polzik ES. High quality anti-relaxation coating material for alkali atom vapor cells. Opt Express 2010; 18:5825-5830. [PMID: 20389599 DOI: 10.1364/oe.18.005825] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/29/2023]
Abstract
We present an experimental investigation of alkali atom vapor cells coated with a high quality anti-relaxation coating material based on alkenes. The prepared cells with single compound alkene based coating showed the longest spin relaxation times which have been measured up to now with room temperature vapor cells. Suggestions are made that chemical binding of a cesium atom and an alkene molecule by attack to the C = C bond plays a crucial role in such improvement of anti-relaxation coating quality.
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Affiliation(s)
- M V Balabas
- QUANTOP, Danish National Research Foundation Center for Quantum OpticsNiels Bohr Institute, University of Copenhagen, Denmark.
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15
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Nielsen BM, Neergaard-Nielsen JS, Polzik ES. Time gating of heralded single photons for atomic memories. Opt Lett 2009; 34:3872-3874. [PMID: 20016642 DOI: 10.1364/ol.34.003872] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
We demonstrate a method for time gating the standard heralded cw spontaneous parametric downconverted single-photon source by using pulsed pumping of an optical parametric oscillator below threshold. The narrow bandwidth, high purity, high spectral brightness, and pseudodeterministic character make the source highly suitable for light-atom interfaces with atomic memories.
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Affiliation(s)
- B Melholt Nielsen
- Niels Bohr Institute, Danish National Research Foundation Center for Quantum Optics (QUANTOP), Blegdamsvej 17,DK-2100 Copenhagen, Denmark
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16
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Wasilewski W, Fernholz T, Jensen K, Madsen LS, Krauter H, Muschik C, Polzik ES. Generation of two-mode squeezed and entangled light in a single temporal and spatial mode. Opt Express 2009; 17:14444-14457. [PMID: 19654852 DOI: 10.1364/oe.17.014444] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
We analyse a novel squeezing and entangling mechanism which is due to correlated Stokes and anti-Stokes photon forward scattering in a multi-level atom vapour. We develop a full quantum model for an alkali atomic vapour including quantized collective atomic states which predicts high degree of squeezing for attainable experimental conditions. Following the proposal we present an experimental demonstration of 3.5 dB pulsed frequency nondegenerate squeezed (quadrature entangled) state of light using room temperature caesium vapour. The source is very robust and requires only a few milliwatts of laser power. The squeezed state is generated in the same spatial mode as the local oscillator and in a single temporal mode. The two entangled modes are separated by twice the Zeeman frequency of the vapour which can be widely tuned. The narrow-band squeezed light generated near an atomic resonance can be directly used for atom-based quantum information protocols. Its single temporal mode characteristics make it a promising resource for quantum information processing.
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Affiliation(s)
- W Wasilewski
- Niels Bohr Institute, Danish Research Foundation Center for Quantum Optics(QUANTOP), Blegdamsvej 17, DK-2100 Copenhagen, Denmark.
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17
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Appel J, Windpassinger PJ, Oblak D, Hoff UB, Kjaergaard N, Polzik ES. Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit. Proc Natl Acad Sci U S A 2009; 106:10960-5. [PMID: 19541646 PMCID: PMC2708678 DOI: 10.1073/pnas.0901550106] [Citation(s) in RCA: 97] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/11/2009] [Indexed: 11/18/2022] Open
Abstract
Squeezing of quantum fluctuations by means of entanglement is a well-recognized goal in the field of quantum information science and precision measurements. In particular, squeezing the fluctuations via entanglement between 2-level atoms can improve the precision of sensing, clocks, metrology, and spectroscopy. Here, we demonstrate 3.4 dB of metrologically relevant squeezing and entanglement for greater, similar 10(5) cold caesium atoms via a quantum nondemolition (QND) measurement on the atom clock levels. We show that there is an optimal degree of decoherence induced by the quantum measurement which maximizes the generated entanglement. A 2-color QND scheme used in this paper is shown to have a number of advantages for entanglement generation as compared with a single-color QND measurement.
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Affiliation(s)
- J Appel
- Danish National Research Foundation Center for Quantum Optics, The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
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18
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Hammerer K, Aspelmeyer M, Polzik ES, Zoller P. Establishing Einstein-Poldosky-Rosen channels between nanomechanics and atomic ensembles. Phys Rev Lett 2009; 102:020501. [PMID: 19257254 DOI: 10.1103/physrevlett.102.020501] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/22/2008] [Indexed: 05/27/2023]
Abstract
We suggest interfacing nanomechanical systems via an optical quantum bus to atomic ensembles, for which means of high precision state preparation, manipulation, and measurement are available. This allows, in particular, for a quantum nondemolition Bell measurement, projecting the coupled system, atomic-ensemble-nanomechanical resonator, into an entangled EPR state. The entanglement is observable even for nanoresonators initially well above their ground states and can be utilized for teleportation of states from an atomic ensemble to the mechanical system.
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Affiliation(s)
- K Hammerer
- Institut für Theoretische Physik, Universität Innsbruck, A-6020 Innsbruck, Austria
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19
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Fernholz T, Krauter H, Jensen K, Sherson JF, Sørensen AS, Polzik ES. Spin squeezing of atomic ensembles via nuclear-electronic spin entanglement. Phys Rev Lett 2008; 101:073601. [PMID: 18764532 DOI: 10.1103/physrevlett.101.073601] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/18/2008] [Indexed: 05/24/2023]
Abstract
We demonstrate spin squeezing in a room temperature ensemble of approximately 10(12) cesium atoms using their internal structure, where the necessary entanglement is created between nuclear and electronic spins of each individual atom. This state provides improvement in measurement sensitivity beyond the standard quantum limit for quantum memory experiments and applications in quantum metrology and is thus a complementary alternative to spin squeezing obtained via interatom entanglement. Squeezing of the collective spin is verified by quantum state tomography.
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Affiliation(s)
- T Fernholz
- QUANTOP, Danish National Research Foundation Center for Quantum Optics, Niels Bohr Institute, Copenhagen University, DK 2100, Denmark
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20
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Windpassinger PJ, Oblak D, Petrov PG, Kubasik M, Saffman M, Alzar CLG, Appel J, Müller JH, Kjaergaard N, Polzik ES. Nondestructive probing of Rabi oscillations on the cesium clock transition near the standard quantum limit. Phys Rev Lett 2008; 100:103601. [PMID: 18352185 DOI: 10.1103/physrevlett.100.103601] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/09/2007] [Indexed: 05/26/2023]
Abstract
We report on the nondestructive observation of Rabi oscillations on the Cs clock transition. The internal atomic state evolution of a dipole-trapped ensemble of cold atoms is inferred from the phase shift of a probe laser beam as measured using a Mach-Zehnder interferometer. We describe a single color as well as a two-color probing scheme. Using the latter, measurements of the collective pseudospin projection of atoms in a superposition of the clock states are performed and the observed spin fluctuations are shown to be close to the standard quantum limit.
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Neergaard-Nielsen JS, Nielsen BM, Takahashi H, Vistnes AI, Polzik ES. High purity bright single photon source. Opt Express 2007; 15:7940-7949. [PMID: 19547121 DOI: 10.1364/oe.15.007940] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
Using cavity-enhanced non-degenerate parametric down-conversion, we have built a frequency tunable source of heralded single photons with a narrow bandwidth of 8 MHz, making it compatible with atomic quantum memories. The photon state is 70% pure single photon as characterized by a tomographic measurement and reconstruction of the quantum state, revealing a clearly negative Wigner function. Furthermore, it has a spectral brightness of ~1,500 photons/s per MHz bandwidth, making it one of the brightest single photon sources available. We also investigate the correlation function of the down-converted fields using a combination of two very distinct detection methods; photon counting and homodyne measurement.
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Eckert K, Zawitkowski L, Sanpera A, Lewenstein M, Polzik ES. Quantum polarization spectroscopy of ultracold spinor gases. Phys Rev Lett 2007; 98:100404. [PMID: 17358517 DOI: 10.1103/physrevlett.98.100404] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/14/2006] [Indexed: 05/14/2023]
Abstract
We propose a method for the detection of ground state quantum phases of spinor gases through a series of two quantum nondemolition measurements performed by sending off-resonant, polarized light pulses through the gas. Signatures of various mean-field as well as strongly correlated phases of F=1 and F=2 spinor gases obtained by detecting quantum fluctuations and mean values of polarization of transmitted light are identified.
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Affiliation(s)
- K Eckert
- Grup de Física Teórica, Universitat Autónoma de Barcelona, E-08193 Bellaterra, Spain
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Neergaard-Nielsen JS, Nielsen BM, Hettich C, Mølmer K, Polzik ES. Generation of a superposition of odd photon number states for quantum information networks. Phys Rev Lett 2006; 97:083604. [PMID: 17026305 DOI: 10.1103/physrevlett.97.083604] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/24/2006] [Revised: 05/09/2006] [Indexed: 05/12/2023]
Abstract
We report on the experimental observation of quantum-network-compatible light described by a nonpositive Wigner function. The state is generated by photon subtraction from a squeezed vacuum state produced by a continuous wave optical parametric amplifier. Ideally, the state is a coherent superposition of odd photon number states, closely resembling a superposition of weak coherent states |alpha > - |-alpha >. In the limit of low squeezing the state is basically a single photon state. Light is generated with about 10,000 and more events per second in a nearly perfect spatial mode with a Fourier-limited frequency bandwidth which matches well atomic quantum memory requirements. The generated state of light is an excellent input state for testing quantum memories, quantum repeaters, and linear optics quantum computers.
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Affiliation(s)
- J S Neergaard-Nielsen
- Niels Bohr Institute, Copenhagen University, DK 2100, Denmark and QUANTOP, Danish National Research Foundation Center for Quantum Optics, Denmark
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Echaniz SRD, Mitchell MW, Kubasik M, Koschorreck M, Crepaz H, Eschner J, Polzik ES. Conditions for spin squeezing in a cold87Rb ensemble. ACTA ACUST UNITED AC 2005. [DOI: 10.1088/1464-4266/7/12/016] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Hammerer K, Wolf MM, Polzik ES, Cirac JI. Quantum benchmark for storage and transmission of coherent states. Phys Rev Lett 2005; 94:150503. [PMID: 15904127 DOI: 10.1103/physrevlett.94.150503] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/27/2004] [Indexed: 05/02/2023]
Abstract
We consider the storage and transmission of a Gaussian distributed set of coherent states of continuous variable systems. We prove a limit on the average fidelity achievable when the states are transmitted or stored by a classical channel, i.e., a measure and repreparation scheme which sends or stores classical information only. The obtained bound is tight and serves as a benchmark which has to be surpassed by quantum channels in order to outperform any classical strategy. The success in experimental demonstrations of quantum memories as well as quantum teleportation has to be judged on this footing.
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Affiliation(s)
- K Hammerer
- Max-Planck-Institut für Quantenoptik, D-85748 Garching, Germany
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26
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Julsgaard B, Sherson J, Sørensen JL, Polzik ES. Characterizing the spin state of an atomic ensemble using the magneto-optical resonance method. ACTA ACUST UNITED AC 2003. [DOI: 10.1088/1464-4266/6/1/002] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Abstract
A method for generating a mesoscopic superposition state of the collective spin variable of a gas of atoms is proposed. The state consists of a superposition of the atomic spins pointing in two slightly different directions. It is obtained by using off resonant light to carry out quantum nondemolition measurements of the spins. The relevant experimental conditions, which require very dense atomic samples, can be realized with presently available techniques. Long-lived atomic superposition states may become useful as an off-line resource for quantum computing with otherwise linear operations.
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Affiliation(s)
- S Massar
- Service de Physique Théorique, Université Libre de Bruxelles, C.P. 225, Boulevard du Triomphe, 1050 Bruxelles, Belgium
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Polzik ES, Julsgaard B, Sherson J, Sørensen JL. Entanglement and quantum teleportation with multi-atom ensembles. Philos Trans A Math Phys Eng Sci 2003; 361:1391-1399. [PMID: 12869315 DOI: 10.1098/rsta.2003.1208] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
Atomic ensembles containing a large number of atoms have been proved to be an effective medium for quantum-state (quantum information) engineering and processing via their coupling with multi-photon light pulses. The general mechanism of this coupling, which involves continuous quantum variables for light and atoms, is described. The efficient quantum interface between light and atoms has led to the recent demonstration of an entangled state of two macroscopic atomic objects, more precisely two caesium gas samples. Based on this result, a proposal for teleportation of an entangled state of two atomic samples (entanglement swapping) is presented.
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Affiliation(s)
- E S Polzik
- Niels Bohr Institute for Astronomy, Physics and Geophysics, Copenhagen University, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark
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Schori C, Julsgaard B, Sørensen JL, Polzik ES. Recording quantum properties of light in a long-lived atomic spin state: towards quantum memory. Phys Rev Lett 2002; 89:057903. [PMID: 12144466 DOI: 10.1103/physrevlett.89.057903] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/05/2002] [Indexed: 05/23/2023]
Abstract
We report an experiment on mapping a quantum state of light onto the ground state spin of an ensemble of Cs atoms with the lifetime of 2 ms. Recording of one of the two quadrature phase operators of light is demonstrated with vacuum and squeezed states of light. The sensitivity of the mapping procedure at the level of approximately 1 photon/sec per Hz is shown. The results pave the road towards complete (storing both quadrature phase observables) quantum memory for Gaussian states of light. The experiment also sheds new light on fundamental limits of sensitivity of the magneto-optical resonance method.
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Affiliation(s)
- C Schori
- QUANTOP-Danish National Research Foundation Center for Quantum Optics, Institute of Physics and Astronomy, University of Aarhus, 8000 Aarhus, Denmark
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Abstract
Entanglement is considered to be one of the most profound features of quantum mechanics. An entangled state of a system consisting of two subsystems cannot be described as a product of the quantum states of the two subsystems. In this sense, the entangled system is considered inseparable and non-local. It is generally believed that entanglement is usually manifest in systems consisting of a small number of microscopic particles. Here we demonstrate experimentally the entanglement of two macroscopic objects, each consisting of a caesium gas sample containing about 1012 atoms. Entanglement is generated via interaction of the samples with a pulse of light, which performs a non-local Bell measurement on the collective spins of the samples. The entangled spin-state can be maintained for 0.5 milliseconds. Besides being of fundamental interest, we expect the robust and long-lived entanglement of material objects demonstrated here to be useful in quantum information processing, including teleportation of quantum states of matter and quantum memory.
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Affiliation(s)
- B Julsgaard
- Institute of Physics and Astronomy, University of Aarhus, Denmark
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Abstract
A set of protocols for atoms-photons and atoms-atoms quantum state teleportation and swapping utilizing Einstein-Podolsky-Rosen light is proposed. The protocols work for polarization quantum states of multiphoton light pulses and macroscopic samples of atoms, i.e., for continuous quantum variables. A simple free space interaction of polarized light with a spin polarized atomic ensemble is shown to suffice for these protocols. Feasibility of experimental realization using gas samples of atoms is analyzed.
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Affiliation(s)
- A Kuzmich
- Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA
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Duan LM, Cirac JI, Zoller P, Polzik ES. Quantum communication between atomic ensembles using coherent light. Phys Rev Lett 2000; 85:5643-5646. [PMID: 11136067 DOI: 10.1103/physrevlett.85.5643] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/04/2000] [Indexed: 05/23/2023]
Abstract
Protocols for quantum communication between massive particles, such as atoms, are usually based on making use of nonclassical light, and/or superhigh finesse optical cavities are normally needed to enhance interaction between atoms and photons. We demonstrate a remarkable result: by using only coherent light, entanglement can be generated between distant free space atomic ensembles, and an unknown quantum state can thus be teleported from one to another. Neither nonclassical light nor cavities are needed in the scheme, which greatly simplifies its experimental implementation.
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Affiliation(s)
- L M Duan
- Institute for Theoretical Physics, University of Innsbruck, Austria.
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Abstract
Quantum teleportation of optical coherent states was demonstrated experimentally using squeezed-state entanglement. The quantum nature of the achieved teleportation was verified by the experimentally determined fidelity Fexp = 0.58 +/- 0.02, which describes the match between input and output states. A fidelity greater than 0.5 is not possible for coherent states without the use of entanglement. This is the first realization of unconditional quantum teleportation where every state entering the device is actually teleported.
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Affiliation(s)
- A Furusawa
- A. Furusawa, C. A. Fuchs, and H. J. Kimble are in the Norman Bridge Laboratory of Physics, California Institute of Technology, Pasadena, CA 91125, USA. J. L. Sorensen and E. S. Polzik are at the Institute of Physics and Astronomy, Aarhus University, A
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Sørensen JL, Hald J, Polzik ES. Spectroscopy on a modulated magneto-optical trap. Opt Lett 1998; 23:25-27. [PMID: 18084400 DOI: 10.1364/ol.23.000025] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/25/2023]
Abstract
We demonstrate a new type of high-resolution two-photon frequency modulation (FM) spectroscopy with cold atoms in a magneto-optical trap. Instead of modulating the probe as in ordinary FM spectroscopy, we modulate the trap itself by FM of the trapping beams. We present theoretical as well as experimental results for both absorption and polarization rotation spectroscopy. Finally, we demonstrate two-photon FM spectroscopy, using the intrinsic phase noise of the trapping diode lasers.
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Abstract
Quantum interference in the rate of two-photon excitation of the 6S((1/2)) ?6P(3/2) ? 6D(5/2) transition in atomic cesium is exploited to demonstrate phase-sensitive frequency demodulation for an optical interval of +/- 12.5 THz. By thus using atoms as ultrafast nonlinear mixing elements, we suggest and analyze a new avenue for absolute comparisons of a dense set of frequencies over the range of 200-2000 nm.
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Georgiades NP, Polzik ES, Edamatsu K, Kimble HJ, Parkins AS. Nonclassical excitation for atoms in a squeezed vacuum. Phys Rev Lett 1995; 75:3426-3429. [PMID: 10059583 DOI: 10.1103/physrevlett.75.3426] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Georgiades NP, Polzik ES, Kimble HJ. Two-photon spectroscopy of the 6S(1/2) ? 6D(5/2) transition of trapped atomic cesium. Opt Lett 1994; 19:1474-1476. [PMID: 19855557 DOI: 10.1364/ol.19.001474] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
Two-photon spectroscopy of atomic cesium confined and cooled in a magneto-optical trap is reported. The hyperfine structure of the 6D(5/2) state is determined with 1% accuracy. New capabilities for studying ac Stark shifts and kinetic transport for cold atoms are suggested.
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Polzik ES, Carri J, Kimble HJ. Atomic spectroscopy with squeezed light for sensitivity beyond the vacuum-state limit. ACTA ACUST UNITED AC 1992. [DOI: 10.1007/bf00325016] [Citation(s) in RCA: 94] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Abstract
Conversion efficiency of 85% has been achieved in cw second-harmonic generation from 1.08 to 0.54 microm with a potassium titanyl phosphate crystal inside an external ring cavity. An absolute comparison between the experimental data and a simple theory is made and shows good agreement.
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Kopyov OV, Polzik ES, Jacques DB, Kimble HJ, Rand RW, Craft J. Effect of coherent blue light on fetal pig xenotransplants. Transplant Proc 1992; 24:549-50. [PMID: 1566425] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [MESH Headings] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022]
Affiliation(s)
- O V Kopyov
- Neurosciences Institute, Los Angeles, CA 90017-2395
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44
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