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Chardin C, Pairis S, Douillet S, Hocevar M, Claudon J, Poizat JP, Bellon L, Verlot P. Hyperspectral Electromechanical Imaging at the Nanoscale: Dynamical Backaction, Dissipation, and Quantum Fluctuations. NANO LETTERS 2025; 25:4774-4780. [PMID: 40091219 DOI: 10.1021/acs.nanolett.4c06196] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 03/19/2025]
Abstract
We report a new hyperspectral electromechanical imaging platform enabling local heating of nanostructures and simultaneous measurement of their mechanical fluctuations, with nanometric resolution. We use this platform to image the thermally activated nanomechanical dynamics of a 40 nm diameter nanowire whose mechanical losses are dominated by a single localized defect while scanning a heat source across its surface. We develop a thermal backaction model, which we use to demonstrate a close connection among the structure of the nanowire, its thermal response, its dissipation, and its fluctuations. We notably show that the defect behaves as a single fluctuation hub, whose e-beam excitation yields a far off-equilibrium vibrational state largely dominated by the quantum fluctuations of the heating source. Our platform is of interest for future quantitative investigation of fundamental nanoscale dynamical phenomena and appears to be a new playground for exploring quantum thermodynamics in the strongly dissipative regime and at room temperature.
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Affiliation(s)
- Clément Chardin
- School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
| | - Sébastien Pairis
- Univ. Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, F-38000 Grenoble, France
| | - Sabine Douillet
- Univ. Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, F-38000 Grenoble, France
| | - Moïra Hocevar
- Univ. Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, F-38000 Grenoble, France
| | - Julien Claudon
- Univ. Grenoble Alpes, CEA, Grenoble INP, IRIG, PHELIQS, "Nanophysique et semiconducteurs" Group, F-38000 Grenoble, France
| | - Jean-Philippe Poizat
- Univ. Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, F-38000 Grenoble, France
| | - Ludovic Bellon
- CNRS, ENS de Lyon, Laboratoire de Physique, F-69342 Lyon, France
| | - Pierre Verlot
- Université Paris-Saclay, CNRS, ENS Paris-Saclay, CentraleSupélec, LuMIn, 91405 Orsay, France
- Institut Universitaire de France, 1 rue Descartes, 75231 Paris, France
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Bærentsen C, Fedorov SA, Østfeldt C, Balabas MV, Zeuthen E, Polzik ES. Squeezed light from an oscillator measured at the rate of oscillation. Nat Commun 2024; 15:4146. [PMID: 38755123 PMCID: PMC11099115 DOI: 10.1038/s41467-024-47906-0] [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: 09/06/2023] [Accepted: 04/15/2024] [Indexed: 05/18/2024] Open
Abstract
Sufficiently fast continuous measurements of the position of an oscillator approach measurements projective on position eigenstates. We evidence the transition into the projective regime for a spin oscillator within an ensemble of 2 × 1010 room-temperature atoms by observing correlations between the quadratures of the meter light field. These correlations squeeze the fluctuations of one light quadrature below the vacuum level. When the measurement is slower than the oscillation, we generate 11 . 5 - 1.5 + 2.5 dB and detect 8 . 5 - 0.1 + 0.1 dB of squeezing in a tunable band that is a fraction of the resonance frequency. When the measurement is as fast as the oscillation, we detect 4.7 dB of squeezing that spans more than one decade of frequencies below the resonance. Our results demonstrate a new regime of continuous quantum measurements on material oscillators, and set a new benchmark for the performance of a linear quantum sensor.
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Affiliation(s)
| | - Sergey A Fedorov
- Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark.
| | | | | | - Emil Zeuthen
- Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark
| | - Eugene S Polzik
- Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark.
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Li G, Yin ZQ. Steady motional entanglement between two distant levitated nanoparticles. OPTICS EXPRESS 2024; 32:7377-7390. [PMID: 38439419 DOI: 10.1364/oe.511978] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/13/2023] [Accepted: 01/30/2024] [Indexed: 03/06/2024]
Abstract
Quantum entanglement in macroscopic systems is not only essential for practical quantum information processing, but also valuable for the study of the boundary between quantum and the classical world. However, it is very challenging to achieve the steady remote entanglement between distant macroscopic systems. We consider two distant nanoparticles, both of which are optically trapped in two cavities. Based on the coherent scattering mechanism, we find that the ultrastrong optomechanical coupling between the cavity modes and the motion of the levitated nanoparticles could be achieved. The large and steady entanglement between the filtered output cavity modes and the motion of nanoparticles can be generated if the trapping laser is under the red sideband. Then through entanglement swapping, the steady motional entanglement between the distant nanoparticles can be realized. We numerically simulate and find that the two nanoparticles with 10 km distance can be entangled for the experimentally feasible parameters, even in room temperature environments. The generated continuous variable multipartite entanglement is the key to realizing the quantum enhanced sensor network and the sensitivity beyond the standard quantum limit.
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Kalinin N, Dirmeier T, Sorokin AA, Anashkina EA, Sánchez-Soto LL, Corney JF, Leuchs G, Andrianov AV. Quantum-enhanced interferometer using Kerr squeezing. NANOPHOTONICS (BERLIN, GERMANY) 2023; 12:2945-2952. [PMID: 39635489 PMCID: PMC11501281 DOI: 10.1515/nanoph-2023-0032] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 01/16/2023] [Accepted: 03/26/2023] [Indexed: 12/07/2024]
Abstract
One of the prime applications of squeezed light is enhancing the sensitivity of an interferometer below the quantum shot-noise limit, but so far, no such experimental demonstration was reported when using the optical Kerr effect. In prior setups involving Kerr-squeezed light, the role of the interferometer was merely to characterize the noise pattern. The lack of such a demonstration was largely due to the cumbersome tilting of the squeezed ellipse in phase space. Here, we present the first experimental observation of phase-sensitivity enhancement in an interferometer using Kerr squeezing.
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Affiliation(s)
- Nikolay Kalinin
- Max Planck Institute for the Science of Light, 91058Erlangen, Germany
- Nonlinear Dynamics and Optics Division, Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod603950, Russia
- Physik Department, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058Erlangen, Germany
| | - Thomas Dirmeier
- Max Planck Institute for the Science of Light, 91058Erlangen, Germany
- Physik Department, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058Erlangen, Germany
| | - Arseny A. Sorokin
- Nonlinear Dynamics and Optics Division, Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod603950, Russia
| | - Elena A. Anashkina
- Nonlinear Dynamics and Optics Division, Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod603950, Russia
- Advanced School of General and Applied Physics, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod603022, Russia
| | - Luis L. Sánchez-Soto
- Max Planck Institute for the Science of Light, 91058Erlangen, Germany
- Departamento de Óptica, Facultad de Física, Universidad Complutense, Madrid28040, Spain
| | - Joel F. Corney
- School of Mathematics and Physics, University of Queensland, Brisbane, QLD4072, Australia
| | - Gerd Leuchs
- Max Planck Institute for the Science of Light, 91058Erlangen, Germany
- Physik Department, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058Erlangen, Germany
| | - Alexey V. Andrianov
- Nonlinear Dynamics and Optics Division, Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod603950, Russia
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Wang CW, Niu W, Zhang Y, Cheng J, Zhang WZ. Optomechanical noise suppression with the optimal squeezing process. OPTICS EXPRESS 2023; 31:11561-11577. [PMID: 37155789 DOI: 10.1364/oe.477710] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/10/2023]
Abstract
Quantum squeezing-assisted noise suppression is a promising field with wide applications. However, the limit of noise suppression induced by squeezing is still unknown. This paper discusses this issue by studying weak signal detection in an optomechanical system. By solving the system dynamics in the frequency domain, we analyze the output spectrum of the optical signal. The results show that the intensity of the noise depends on many factors, including the degree or direction of squeezing and the choice of the detection scheme. To measure the effectiveness of squeezing and to obtain the optimal squeezing value for a given set of parameters, we define an optimization factor. With the help of this definition, we find the optimal noise suppression scheme, which can only be achieved when the detection direction exactly matches the squeezing direction. The latter is not easy to adjust as it is susceptible to changes in dynamic evolution and sensitive to parameters. In addition, we find that the additional noise reaches a minimum when the cavity (mechanical) dissipation κ(γ) satisfies the relation κ = Nγ, which can be understood as the restrictive relationship between the two dissipation channels induced by the uncertainty relation. Furthermore, by taking into account the noise source of our system, we can realize high-level noise suppression without reducing the input signal, which means that the signal-to-noise ratio can be further improved.
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Grebien S, Göttsch J, Hage B, Fiurášek J, Schnabel R. Multistep Two-Copy Distillation of Squeezed States via Two-Photon Subtraction. PHYSICAL REVIEW LETTERS 2022; 129:273604. [PMID: 36638289 DOI: 10.1103/physrevlett.129.273604] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/15/2022] [Accepted: 12/05/2022] [Indexed: 06/17/2023]
Abstract
Squeezed states are nonclassical resources of quantum cryptography and photonic quantum computing. The higher the squeeze factor, the greater the quantum advantage. Limitations are set by the effective nonlinearity of the pumped medium and energy loss on the squeezed states produced. Here, we experimentally analyze for the first time the multistep distillation of squeezed states that in the ideal case can approach an infinite squeeze factor. Heralded by the probabilistic subtraction of two photons, the first step increased our squeezing from 2.4 to 2.8 dB. The second step was a two-copy Gaussification, which we emulated. For this, we simultaneously measured orthogonal quadratures of the distilled state and found by probabilistic postprocessing an enhancement from 2.8 to 3.4 dB. Our new approach is able to increase the squeeze factor beyond the limit set by the effective nonlinearity of the pumped medium.
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Affiliation(s)
- Stephan Grebien
- Institut für Laserphysik & Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - Julian Göttsch
- Institut für Laserphysik & Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - Boris Hage
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - Jaromír Fiurášek
- Department of Optics, Faculty of Science, Palacký University, 17. listopadu 12, 77900 Olomouc, Czech Republic
| | - Roman Schnabel
- Institut für Laserphysik & Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
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Magrini L, Camarena-Chávez VA, Bach C, Johnson A, Aspelmeyer M. Squeezed Light from a Levitated Nanoparticle at Room Temperature. PHYSICAL REVIEW LETTERS 2022; 129:053601. [PMID: 35960562 DOI: 10.1103/physrevlett.129.053601] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/18/2022] [Revised: 04/27/2022] [Accepted: 06/14/2022] [Indexed: 06/15/2023]
Abstract
Quantum measurements of mechanical systems can generate optical squeezing via ponderomotive forces. Its observation requires high environmental isolation and efficient detection, typically achieved by using cryogenic cooling and optical cavities. Here, we realize these conditions by measuring the position of an optically levitated nanoparticle at room temperature and without the overhead of an optical cavity. We use a fast heterodyne detection to reconstruct simultaneously orthogonal optical quadratures, and observe a noise reduction of 9%±0.5% below shot noise. Our experiment offers a novel, cavityless platform for squeezed-light enhanced sensing. At the same time it delineates a clear and simple strategy toward observation of stationary optomechanical entanglement.
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Affiliation(s)
- Lorenzo Magrini
- University of Vienna, Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), 1090 Vienna, Austria
| | - Victor A Camarena-Chávez
- University of Vienna, Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), 1090 Vienna, Austria
| | - Constanze Bach
- University of Vienna, Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), 1090 Vienna, Austria
| | - Aisling Johnson
- University of Vienna, Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), 1090 Vienna, Austria
| | - Markus Aspelmeyer
- University of Vienna, Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), 1090 Vienna, Austria
- Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, 1090 Vienna, Austria
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Berkowitz R. Extra-Stable Light Produced by Levitated Nanoparticle. PHYSICS 2022. [DOI: 10.1103/physics.15.114] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/04/2022]
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