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Anders F, Idel A, Feldmann P, Bondarenko D, Loriani S, Lange K, Peise J, Gersemann M, Meyer-Hoppe B, Abend S, Gaaloul N, Schubert C, Schlippert D, Santos L, Rasel E, Klempt C. Momentum Entanglement for Atom Interferometry. Phys Rev Lett 2021; 127:140402. [PMID: 34652182 DOI: 10.1103/physrevlett.127.140402] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/30/2020] [Accepted: 09/03/2021] [Indexed: 06/13/2023]
Abstract
Compared to light interferometers, the flux in cold-atom interferometers is low and the associated shot noise is large. Sensitivities beyond these limitations require the preparation of entangled atoms in different momentum modes. Here, we demonstrate a source of entangled atoms that is compatible with state-of-the-art interferometers. Entanglement is transferred from the spin degree of freedom of a Bose-Einstein condensate to well-separated momentum modes, witnessed by a squeezing parameter of -3.1(8) dB. Entanglement-enhanced atom interferometers promise unprecedented sensitivities for quantum gradiometers or gravitational wave detectors.
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Affiliation(s)
- F Anders
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
| | - A Idel
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
| | - P Feldmann
- Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, D-30167 Hannover, Germany
| | - D Bondarenko
- Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, D-30167 Hannover, Germany
| | - S Loriani
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
| | - K Lange
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
| | - J Peise
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
| | - M Gersemann
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
| | - B Meyer-Hoppe
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
| | - S Abend
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
| | - N Gaaloul
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
| | - C Schubert
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
- Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR), Institut für Satellitengeodäsie und Inertialsensorik, c/o Leibniz, Universität Hannover, DLR-SI, Callinstraße 36, 30167 Hannover, Germany
| | - D Schlippert
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
| | - L Santos
- Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, D-30167 Hannover, Germany
| | - E Rasel
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
| | - C Klempt
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
- Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR), Institut für Satellitengeodäsie und Inertialsensorik, c/o Leibniz, Universität Hannover, DLR-SI, Callinstraße 36, 30167 Hannover, Germany
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Büning GK, Will J, Ertmer W, Rasel E, Arlt J, Klempt C, Ramirez-Martinez F, Piéchon F, Rosenbusch P. Extended coherence time on the clock transition of optically trapped rubidium. Phys Rev Lett 2011; 106:240801. [PMID: 21770559 DOI: 10.1103/physrevlett.106.240801] [Citation(s) in RCA: 5] [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: 03/11/2011] [Indexed: 05/31/2023]
Abstract
Optically trapped ensembles are of crucial importance for frequency measurements and quantum memories but generally suffer from strong dephasing due to inhomogeneous density and light shifts. We demonstrate a drastic increase of the coherence time to 21 s on the magnetic field insensitive clock transition of (87)Rb by applying the recently discovered spin self-rephasing [C. Deutsch et al., Phys. Rev. Lett. 105, 020401 (2010)]. This result confirms the general nature of this new mechanism and thus shows its applicability in atom clocks and quantum memories. A systematic investigation of all relevant frequency shifts and noise contributions yields a stability of 2.4×10(-11)τ(-1/2), where τ is the integration time in seconds. Based on a set of technical improvements, the presented frequency standard is predicted to rival the stability of microwave fountain clocks in a potentially much more compact setup.
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Affiliation(s)
- G Kleine Büning
- Institut für Quantenoptik, Leibniz Universität Hannover, Hannover, Germany.
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van Zoest T, Gaaloul N, Singh Y, Ahlers H, Herr W, Seidel ST, Ertmer W, Rasel E, Eckart M, Kajari E, Arnold S, Nandi G, Schleich WP, Walser R, Vogel A, Sengstock K, Bongs K, Lewoczko-Adamczyk W, Schiemangk M, Schuldt T, Peters A, Könemann T, Müntinga H, Lämmerzahl C, Dittus H, Steinmetz T, Hänsch TW, Reichel J. Bose-Einstein Condensation in Microgravity. Science 2010; 328:1540-3. [DOI: 10.1126/science.1189164] [Citation(s) in RCA: 212] [Impact Index Per Article: 15.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Affiliation(s)
- T. van Zoest
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
| | - N. Gaaloul
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
| | - Y. Singh
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
| | - H. Ahlers
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
| | - W. Herr
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
| | - S. T. Seidel
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
| | - W. Ertmer
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
| | - E. Rasel
- Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
| | - M. Eckart
- Institut für Quantenphysik, Universität Ulm, Albert Einstein Allee 11, 89081 Ulm, Germany
| | - E. Kajari
- Institut für Quantenphysik, Universität Ulm, Albert Einstein Allee 11, 89081 Ulm, Germany
| | - S. Arnold
- Institut für Quantenphysik, Universität Ulm, Albert Einstein Allee 11, 89081 Ulm, Germany
| | - G. Nandi
- Institut für Quantenphysik, Universität Ulm, Albert Einstein Allee 11, 89081 Ulm, Germany
| | - W. P. Schleich
- Institut für Quantenphysik, Universität Ulm, Albert Einstein Allee 11, 89081 Ulm, Germany
| | - R. Walser
- Institut für Angewandte Physik, Technische Universität Darmstadt, Hochschulstrasse 4A, 64289 Darmstadt, Germany
| | - A. Vogel
- Institut für Laser-Physik, Universität Hamburg, 22761 Hamburg, Germany
| | - K. Sengstock
- Institut für Laser-Physik, Universität Hamburg, 22761 Hamburg, Germany
| | - K. Bongs
- Midlands Ultracold Atom Research Centre, Birmingham B15 2TT, UK
| | | | - M. Schiemangk
- Humboldt-Universität zu Berlin, Hausvogteiplatz 5-7, 10117 Berlin, Germany
| | - T. Schuldt
- Humboldt-Universität zu Berlin, Hausvogteiplatz 5-7, 10117 Berlin, Germany
| | - A. Peters
- Humboldt-Universität zu Berlin, Hausvogteiplatz 5-7, 10117 Berlin, Germany
| | - T. Könemann
- Center of Applied Space Technology and Microgravity (ZARM), Universität Bremen, Am Fallturm, 28359 Bremen, Germany
| | - H. Müntinga
- Center of Applied Space Technology and Microgravity (ZARM), Universität Bremen, Am Fallturm, 28359 Bremen, Germany
| | - C. Lämmerzahl
- Center of Applied Space Technology and Microgravity (ZARM), Universität Bremen, Am Fallturm, 28359 Bremen, Germany
| | - H. Dittus
- Center of Applied Space Technology and Microgravity (ZARM), Universität Bremen, Am Fallturm, 28359 Bremen, Germany
| | - T. Steinmetz
- Max-Planck-Institut für Quantenoptik and Sektion Physik der Ludwig-Maximilians-Universität, Schellingstrasse 4, 80799 München, Germany
| | - T. W. Hänsch
- Max-Planck-Institut für Quantenoptik and Sektion Physik der Ludwig-Maximilians-Universität, Schellingstrasse 4, 80799 München, Germany
| | - J. Reichel
- Laboratoire Kastler-Brossel de l’Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris, France
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Schiller S, Görlitz A, Nevsky A, Koelemeij J, Wicht A, Gill P, Klein H, Margolis H, Mileti G, Sterr U, Riehle F, Peik E, Tamm C, Ertmer W, Rasel E, Klein V, Salomon C, Tino G, Lemonde P, Holzwarth R, Hänsch T. Optical Clocks in Space. ACTA ACUST UNITED AC 2007. [DOI: 10.1016/j.nuclphysbps.2006.12.032] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Pereira Dos Santos F, Léonard J, Wang J, Barrelet CJ, Perales F, Rasel E, Unnikrishnan CS, Leduc M, Cohen-Tannoudji C. Bose-Einstein condensation of metastable helium. Phys Rev Lett 2001; 86:3459-3462. [PMID: 11327998 DOI: 10.1103/physrevlett.86.3459] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/19/2001] [Indexed: 05/23/2023]
Abstract
We have observed a Bose-Einstein condensate in a dilute gas of 4He in the (3)2S(1) metastable state. We find a critical temperature of (4.7+/-0.5) microK and a typical number of atoms at the threshold of 8 x 10(6). The maximum number of atoms in our condensate is about 5 x 10(5). An approximate value for the scattering length a = (16+/-8) nm is measured. The mean elastic collision rate at threshold is then estimated to be about 2 x 10(4) s(-1), indicating that we are deeply in the hydrodynamic regime. The typical decay time of the condensate is 2 s, which places an upper bound on the rate constants for two-body and three-body inelastic collisions.
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Affiliation(s)
- F Pereira Dos Santos
- Collège de France, Laboratoire Kastler Brossel, Département de Physique, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France
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