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Bera T, Kandpal M, Agarwal GS, Singh V. Single-photon induced instabilities in a cavity electromechanical device. Nat Commun 2024; 15:7115. [PMID: 39160145 PMCID: PMC11333599 DOI: 10.1038/s41467-024-51499-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/28/2023] [Accepted: 08/09/2024] [Indexed: 08/21/2024] Open
Abstract
Cavity-electromechanical systems are extensively used for sensing and controlling the vibrations of mechanical resonators down to their quantum limit. The nonlinear radiation-pressure interaction in these systems could result in an unstable response of the mechanical resonator showing features such as frequency-combs, period-doubling bifurcations and chaos. However, due to weak light-matter interaction, typically these effects appear at very high driving strengths. By using polariton modes formed by a strongly coupled flux-tunable transmon and a microwave cavity, here we demonstrate an electromechanical device and achieve a single-photon coupling rateg 0 / 2 π of 160 kHz, which is nearly 4% of the mechanical frequency ωm. Due to large g0/ωm ratio, the device shows an unstable mechanical response resulting in frequency combs in sub-single photon limit. We systematically investigate the boundary of the unstable response and identify two important regimes governed by the optomechanical backaction and the nonlinearity of the electromagnetic mode. Such an improvement in the single-photon coupling rate and the observations of microwave frequency combs at single-photon levels may have applications in the quantum control of the motional states and critical parametric sensing. Our experiments strongly suggest the requirement of newer approaches to understand instabilities.
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Affiliation(s)
- Tanmoy Bera
- Department of Physics, Indian Institute of Science, Bangalore, 560012, India.
| | - Mridul Kandpal
- Department of Physics, Indian Institute of Science, Bangalore, 560012, India
| | - Girish S Agarwal
- Department of Physics, Indian Institute of Science, Bangalore, 560012, India
- Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX, 77843, USA
- Department of Physics and Astronomy, Texas A&M University, College Station, TX, 77843, USA
- Department of Biological and Agricultural Engineering, Texas A&M University, College Station, TX, 77843, USA
| | - Vibhor Singh
- Department of Physics, Indian Institute of Science, Bangalore, 560012, India.
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2
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Hofer J, Gross R, Higgins G, Huebl H, Kieler OF, Kleiner R, Koelle D, Schmidt P, Slater JA, Trupke M, Uhl K, Weimann T, Wieczorek W, Aspelmeyer M. High-Q Magnetic Levitation and Control of Superconducting Microspheres at Millikelvin Temperatures. PHYSICAL REVIEW LETTERS 2023; 131:043603. [PMID: 37566828 DOI: 10.1103/physrevlett.131.043603] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/06/2022] [Accepted: 06/27/2023] [Indexed: 08/13/2023]
Abstract
We report the levitation of a superconducting lead-tin sphere with 100 μm diameter (corresponding to a mass of 5.6 μg) in a static magnetic trap formed by two coils in an anti-Helmholtz configuration, with adjustable resonance frequencies up to 240 Hz. The center-of-mass motion of the sphere is monitored magnetically using a dc superconducting quantum interference device as well as optically and exhibits quality factors of up to 2.6×10^{7}. We also demonstrate 3D magnetic feedback control of the motion of the sphere. The setup is housed in a dilution refrigerator operating at 15 mK. By implementing a cryogenic vibration isolation system, we can attenuate environmental vibrations at 200 Hz by approximately 7 orders of magnitude. The combination of low temperature, large mass, and high quality factor provides a promising platform for testing quantum physics in previously unexplored regimes with high mass and long coherence times.
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Affiliation(s)
- J Hofer
- Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), University of Vienna, A-1090 Vienna, Austria
- Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, A-1090 Vienna, Austria
| | - R Gross
- Walther-Meißner-Institut, Bayerische Akademie der Wissenschaften, D-85748 Garching, Germany
- Physik-Department, Technische Universität München, D-85748 Garching, Germany
- Munich Center for Quantum Science and Technology (MCQST), D-80799 München, Germany
| | - G Higgins
- Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, A-1090 Vienna, Austria
- Department of Microtechnology and Nanoscience (MC2), Chalmers University of Technology, SE-412 96 Gothenburg, Sweden
| | - H Huebl
- Walther-Meißner-Institut, Bayerische Akademie der Wissenschaften, D-85748 Garching, Germany
- Physik-Department, Technische Universität München, D-85748 Garching, Germany
- Munich Center for Quantum Science and Technology (MCQST), D-80799 München, Germany
| | - O F Kieler
- Physikalisch-Technische Bundesanstalt (PTB), D-38116 Braunschweig, Germany
| | - R Kleiner
- Physikalisches Institut, Center for Quantum Science (CQ) and LISA+, University of Tuebingen, D-72076 Tuebingen, Germany
| | - D Koelle
- Physikalisches Institut, Center for Quantum Science (CQ) and LISA+, University of Tuebingen, D-72076 Tuebingen, Germany
| | - P Schmidt
- Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, A-1090 Vienna, Austria
| | - J A Slater
- Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), University of Vienna, A-1090 Vienna, Austria
| | - M Trupke
- Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), University of Vienna, A-1090 Vienna, Austria
| | - K Uhl
- Physikalisches Institut, Center for Quantum Science (CQ) and LISA+, University of Tuebingen, D-72076 Tuebingen, Germany
| | - T Weimann
- Physikalisch-Technische Bundesanstalt (PTB), D-38116 Braunschweig, Germany
| | - W Wieczorek
- Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), University of Vienna, A-1090 Vienna, Austria
- Department of Microtechnology and Nanoscience (MC2), Chalmers University of Technology, SE-412 96 Gothenburg, Sweden
| | - M Aspelmeyer
- Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), University of Vienna, A-1090 Vienna, Austria
- Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, A-1090 Vienna, Austria
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3
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Xue JJ, Liu WX, Liang SS, Fang AP, Wang X, Li HR. P T symmetry in a superconducting hybrid quantum system with longitudinal coupling. OPTICS EXPRESS 2023; 31:4580-4598. [PMID: 36785422 DOI: 10.1364/oe.479906] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/08/2022] [Accepted: 01/03/2023] [Indexed: 06/18/2023]
Abstract
We propose a scheme consisting of coupled nanomechanical cantilever resonators and superconducting flux qubits to engineer a parity-time- (P T-) symmetric phononic system formed by active and passive modes. The effective gain (loss) of the phonon mode is achieved by the longitudinal coupling of the resonator and the fast dissipative superconducting qubit with a blue-sideband driving (red-sideband driving). A P T-symmetric to broken-P T-symmetric phase transition can be observed in both balanced gain-to-loss and unbalanced gain-to-loss cases. Applying a resonant weak probe field to the dissipative resonator, we find that (i) for balanced gain and loss, the acoustic signal absorption to amplification can be tuned by changing the coupling strength between resonators; (ii) for unbalanced gain and loss, both acoustically induced transparency and anomalous dispersion can be observed around Δ = 0, where the maximum group delay is also located at this point. Our work provides an experimentally feasible scheme to design P T-symmetric phononic systems and a powerful platform for controllable acoustic signal transmission in a hybrid quantum system.
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Zoepfl D, Juan ML, Diaz-Naufal N, Schneider CMF, Deeg LF, Sharafiev A, Metelmann A, Kirchmair G. Kerr Enhanced Backaction Cooling in Magnetomechanics. PHYSICAL REVIEW LETTERS 2023; 130:033601. [PMID: 36763378 DOI: 10.1103/physrevlett.130.033601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/24/2022] [Revised: 10/28/2022] [Accepted: 11/23/2022] [Indexed: 06/18/2023]
Abstract
Optomechanics is a prime example of light matter interaction, where photons directly couple to phonons, allowing the precise control and measurement of the state of a mechanical object. This makes it a very appealing platform for testing fundamental physics or for sensing applications. Usually, such mechanical oscillators are in highly excited thermal states and require cooling to the mechanical ground state for quantum applications, which is often accomplished by using optomechanical backaction. However, while massive mechanical oscillators are desirable for many tasks, their frequency usually decreases below the cavity linewidth, significantly limiting the methods that can be used to efficiently cool. Here, we demonstrate a novel approach relying on an intrinsically nonlinear cavity to backaction-cool a low frequency mechanical oscillator. We experimentally demonstrate outperforming an identical, but linear, system by more than 1 order of magnitude. Furthermore, our theory predicts that with this approach we can also surpass the standard cooling limit of a linear system. By exploiting a nonlinear cavity, our approach enables efficient cooling of a wider range of optomechanical systems, opening new opportunities for fundamental tests and sensing.
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Affiliation(s)
- D Zoepfl
- Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, 6020 Innsbruck, Austria
- Institute for Experimental Physics, University of Innsbruck, 6020 Innsbruck, Austria
| | - M L Juan
- Institut Quantique and Département de Physique, Université de Sherbrooke, Sherbrooke, Québec, J1K 2R1, Canada
| | - N Diaz-Naufal
- Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, 14195 Berlin, Germany
| | - C M F Schneider
- Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, 6020 Innsbruck, Austria
- Institute for Experimental Physics, University of Innsbruck, 6020 Innsbruck, Austria
| | - L F Deeg
- Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, 6020 Innsbruck, Austria
- Institute for Experimental Physics, University of Innsbruck, 6020 Innsbruck, Austria
| | - A Sharafiev
- Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, 6020 Innsbruck, Austria
- Institute for Experimental Physics, University of Innsbruck, 6020 Innsbruck, Austria
| | - A Metelmann
- Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, 14195 Berlin, Germany
- Institute for Theory of Condensed Matter, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
- Institute for Quantum Materials and Technology, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, Germany
| | - G Kirchmair
- Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, 6020 Innsbruck, Austria
- Institute for Experimental Physics, University of Innsbruck, 6020 Innsbruck, Austria
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Rusconi CC, Perdriat M, Hétet G, Romero-Isart O, Stickler BA. Spin-Controlled Quantum Interference of Levitated Nanorotors. PHYSICAL REVIEW LETTERS 2022; 129:093605. [PMID: 36083661 DOI: 10.1103/physrevlett.129.093605] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/22/2022] [Accepted: 07/18/2022] [Indexed: 06/15/2023]
Abstract
We describe how to prepare an electrically levitated nanodiamond in a superposition of orientations via microwave driving of a single embedded nitrogen-vacancy (NV) center. Suitably aligning the magnetic field with the NV center can serve to reach the regime of ultrastrong coupling between the NV and the diamond rotation, enabling single-spin control of the particle's three-dimensional orientation. We derive the effective spin-oscillator Hamiltonian for small amplitude rotation about the equilibrium configuration and develop a protocol to create and observe quantum superpositions of the particle orientation. We discuss the impact of decoherence and argue that our proposal can be realistically implemented with near-future technology.
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Affiliation(s)
- Cosimo C Rusconi
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, 85748 Garching, Germany
- Munich Center for Quantum Science and Technology, Schellingstrasse 4, D-80799 München, Germany
| | - Maxime Perdriat
- Laboratoire De Physique de l'École Normale Supérieure, École Normale Supérieure, PSL Research University, CNRS, Sorbonne Université, Université de Paris, 24 rue Lhomond, 75231 Paris Cedex 05, France
| | - Gabriel Hétet
- Laboratoire De Physique de l'École Normale Supérieure, École Normale Supérieure, PSL Research University, CNRS, Sorbonne Université, Université de Paris, 24 rue Lhomond, 75231 Paris Cedex 05, France
| | - Oriol Romero-Isart
- Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria
- Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria
| | - Benjamin A Stickler
- Faculty of Physics, University of Duisburg-Essen, Lotharstraße 1, 47057 Duisburg, Germany
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Rodrigues IC, Steele GA, Bothner D. Parametrically enhanced interactions and nonreciprocal bath dynamics in a photon-pressure Kerr amplifier. SCIENCE ADVANCES 2022; 8:eabq1690. [PMID: 36026455 PMCID: PMC9417172 DOI: 10.1126/sciadv.abq1690] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/23/2022] [Accepted: 07/13/2022] [Indexed: 06/15/2023]
Abstract
Photon-pressure coupling between two superconducting circuits is a promising platform for investigating radiation-pressure coupling in distinct parameter regimes and for the development of radio-frequency (RF) quantum photonics and quantum-limited RF sensing. Here, we implement photon-pressure coupling between two superconducting circuits, one of which can be operated as a parametric amplifier. We demonstrate a Kerr-based enhancement of the photon-pressure single-photon coupling rate and an increase of the cooperativity by one order of magnitude in the amplifier regime. In addition, we observe that the intracavity amplification reduces the measurement imprecision of RF signal detection. Last, we demonstrate that RF mode sideband cooling is unexpectedly not limited to the effective amplifier mode temperature arising from quantum noise amplification, which we interpret in the context of nonreciprocal heat transfer between the two circuits. Our results demonstrate how Kerr amplification can be used as resource for enhanced photon-pressure systems and Kerr cavity optomechanics.
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Affiliation(s)
- Ines Corveira Rodrigues
- Kavli Institute of Nanoscience, Delft University of Technology, PO Box 5046, 2600 GA Delft, Netherlands
- Department of Physics, ETH Zürich, Zurich, Switzerland
| | - Gary Alexander Steele
- Kavli Institute of Nanoscience, Delft University of Technology, PO Box 5046, 2600 GA Delft, Netherlands
| | - Daniel Bothner
- Kavli Institute of Nanoscience, Delft University of Technology, PO Box 5046, 2600 GA Delft, Netherlands
- Physikalisches Institut and Center for Quantum Science in LISA, Universität Tübingen, 72076 Tübingen, Germany
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7
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Luschmann T, Schmidt P, Deppe F, Marx A, Sanchez A, Gross R, Huebl H. Mechanical frequency control in inductively coupled electromechanical systems. Sci Rep 2022; 12:1608. [PMID: 35102197 PMCID: PMC8803975 DOI: 10.1038/s41598-022-05438-x] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/23/2021] [Accepted: 01/12/2022] [Indexed: 11/09/2022] Open
Abstract
AbstractNano-electromechanical systems implement the opto-mechanical interaction combining electromagnetic circuits and mechanical elements. We investigate an inductively coupled nano-electromechanical system, where a superconducting quantum interference device (SQUID) realizes the coupling. We show that the resonance frequency of the mechanically compliant string embedded into the SQUID loop can be controlled in two different ways: (1) the bias magnetic flux applied perpendicular to the SQUID loop, (2) the magnitude of the in-plane bias magnetic field contributing to the nano-electromechanical coupling. These findings are quantitatively explained by the inductive interaction contributing to the effective spring constant of the mechanical resonator. In addition, we observe a residual field dependent shift of the mechanical resonance frequency, which we attribute to the finite flux pinning of vortices trapped in the magnetic field biased nanostring.
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Liu Y, Liu Q, Wang S, Chen Z, Sillanpää MA, Li T. Optomechanical Anti-Lasing with Infinite Group Delay at a Phase Singularity. PHYSICAL REVIEW LETTERS 2021; 127:273603. [PMID: 35061429 DOI: 10.1103/physrevlett.127.273603] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/31/2021] [Revised: 11/15/2021] [Accepted: 12/10/2021] [Indexed: 06/14/2023]
Abstract
Singularities which symbolize abrupt changes and exhibit extraordinary behavior are of a broad interest. We experimentally study optomechanically induced singularities in a compound system consisting of a three-dimensional aluminum superconducting cavity and a metalized high-coherence silicon nitride membrane resonator. Mechanically induced coherent perfect absorption and anti-lasing occur simultaneously under a critical optomechanical coupling strength. Meanwhile, the phase around the cavity resonance undergoes an abrupt π-phase transition, which further flips the phase slope in the frequency dependence. The observed infinite discontinuity in the phase slope defines a singularity, at which the group velocity is dramatically changed. Around the singularity, an abrupt transition from an infinite group advance to delay is demonstrated by measuring a Gaussian-shaped waveform propagating. Our experiment may broaden the scope of realizing extremely long group delays by taking advantage of singularities.
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Affiliation(s)
- Yulong Liu
- Beijing Academy of Quantum Information Sciences, Beijing 100193, China
- Department of Applied Physics, Aalto University, P.O. Box 15100, FI-00076 Aalto, Finland
| | - Qichun Liu
- Beijing Academy of Quantum Information Sciences, Beijing 100193, China
| | - Shuaipeng Wang
- Quantum Physics and Quantum Information Division, Beijing Computational Science Research Center, Beijing 100193, China
| | - Zhen Chen
- Beijing Academy of Quantum Information Sciences, Beijing 100193, China
| | - Mika A Sillanpää
- Department of Applied Physics, Aalto University, P.O. Box 15100, FI-00076 Aalto, Finland
| | - Tiefu Li
- Beijing Academy of Quantum Information Sciences, Beijing 100193, China
- School of Integrated Circuits and Frontier Science Center for Quantum Information, Tsinghua University, Beijing 100084, China
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