Probing the State of a Mechanical Oscillator with an Ultrastrongly Coupled Quantum Emitter

Elouard, Cyril; Besga, Benjamin; Auffèves, Alexia

doi:10.1103/physrevlett.122.013602

Title: Probing the State of a Mechanical Oscillator with an Ultrastrongly Coupled Quantum Emitter

Journal Article · 09 January 2019 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.122.013602 · OSTI ID:1612774

Elouard, Cyril ^[1]; Besga, Benjamin ^[2]; Auffèves, Alexia ^[3]

Univ. of Rochester, NY (United States); DOE/OSTI
Univ. de Lyon (France)
Univ. Grenoble Alpes (France)

Performing accurate position measurements of a mechanical resonator by coupling it to some optically driven quantum emitter is an important challenge for quantum sensing and metrology. We fully characterize the quantum noise associated with this measurement process, by deriving master equations for the coupled emitter and the resonator valid in the ultrastrong coupling regime. At short timescales, we show that this noise sets a fundamental limit to the readout sensitivity and that the standard quantum limit can be recovered for realistic experimental conditions. At long timescales, the scattering of the mechanical quadratures leads to the decoupling of the emitter from the driving light, switching off the noise source. Furthermore, this method can be used to describe the interaction of any quantum system strongly coupled to a finite size reservoir.

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Research Organization:: Univ. of Rochester, NY (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0017890

OSTI ID:: 1612774

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 1 Vol. 122; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (43)

Atom—Photon Interactions Cohen‐Tannoudji, Claude; Dupont‐Roc, Jacques; Grynberg, Gilbert https://doi.org/10.1002/9783527617197	book	April 1998
Statistical Methods in Quantum Optics 1 Carmichael, Howard J. Springer Berlin, Heidelberg https://doi.org/10.1007/978-3-662-03875-8	book	January 1999
Quantum Dot Opto-Mechanics in a Fully Self-Assembled Nanowire Montinaro, Michele; Wüst, Gunter; Munsch, Mathieu Nano Letters, Vol. 14, Issue 8 https://doi.org/10.1021/nl501413t	journal	July 2014
Single spin detection by magnetic resonance force microscopy Rugar, D.; Budakian, R.; Mamin, H. J. Nature, Vol. 430, Issue 6997 https://doi.org/10.1038/nature02658	journal	July 2004
Radiation-pressure cooling and optomechanical instability of a micromirror Arcizet, O.; Cohadon, P. -F.; Briant, T. Nature, Vol. 444, Issue 7115 https://doi.org/10.1038/nature05244	journal	November 2006
Self-cooling of a micromirror by radiation pressure Gigan, S.; Böhm, H. R.; Paternostro, M. Nature, Vol. 444, Issue 7115 https://doi.org/10.1038/nature05273	journal	November 2006
Nanomechanical measurements of a superconducting qubit LaHaye, M. D.; Suh, J.; Echternach, P. M. Nature, Vol. 459, Issue 7249 https://doi.org/10.1038/nature08093	journal	June 2009
Quantum ground state and single-phonon control of a mechanical resonator O’Connell, A. D.; Hofheinz, M.; Ansmann, M. Nature, Vol. 464, Issue 7289 https://doi.org/10.1038/nature08967	journal	March 2010
Sideband cooling of micromechanical motion to the quantum ground state Teufel, J. D.; Donner, T.; Li, Dale Nature, Vol. 475, Issue 7356 https://doi.org/10.1038/nature10261	journal	July 2011
Laser cooling of a nanomechanical oscillator into its quantum ground state Chan, Jasper; Alegre, T. P. Mayer; Safavi-Naeini, Amir H. Nature, Vol. 478, Issue 7367 https://doi.org/10.1038/nature10461	journal	October 2011
Hybrid circuit cavity quantum electrodynamics with a micromechanical resonator Pirkkalainen, J. -M.; Cho, S. U.; Li, Jian Nature, Vol. 494, Issue 7436 https://doi.org/10.1038/nature11821	journal	February 2013
Strain-mediated coupling in a quantum dot–mechanical oscillator hybrid system Yeo, I.; de Assis, P-L.; Gloppe, A. Nature Nanotechnology, Vol. 9, Issue 2 https://doi.org/10.1038/nnano.2013.274	journal	December 2013
A universal and ultrasensitive vectorial nanomechanical sensor for imaging 2D force fields de Lépinay, Laure Mercier; Pigeau, Benjamin; Besga, Benjamin Nature Nanotechnology, Vol. 12, Issue 2 https://doi.org/10.1038/nnano.2016.193	journal	October 2016
A single nitrogen-vacancy defect coupled to a nanomechanical oscillator Arcizet, O.; Jacques, V.; Siria, A. Nature Physics, Vol. 7, Issue 11 https://doi.org/10.1038/nphys2070	journal	September 2011
Resonant driving of a single photon emitter embedded in a mechanical oscillator Munsch, Mathieu; Kuhlmann, Andreas V.; Cadeddu, Davide Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-00097-3	journal	July 2017
Eigenmode orthogonality breaking and anomalous dynamics in multimode nano-optomechanical systems under non-reciprocal coupling Mercier de Lépinay, Laure; Pigeau, Benjamin; Besga, Benjamin Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-03741-8	journal	April 2018
Photoionization spectroscopy of yttrium clusters: Ionization potentials for Y _n and Y _n O ( n =2–31) Knickelbein, Mark The Journal of Chemical Physics, Vol. 102, Issue 1 https://doi.org/10.1063/1.469392	journal	January 1995
Quantum technologies with hybrid systems Kurizki, Gershon; Bertet, Patrice; Kubo, Yuimaru Proceedings of the National Academy of Sciences, Vol. 112, Issue 13 https://doi.org/10.1073/pnas.1419326112	journal	March 2015
A straightforward introduction to continuous quantum measurement Jacobs, Kurt; Steck, Daniel A. Contemporary Physics, Vol. 47, Issue 5 https://doi.org/10.1080/00107510601101934	journal	September 2006
Ground-state cooling of a nanomechanical resonator via a Cooper-pair box qubit Jaehne, Konstanze; Hammerer, Klemens; Wallquist, Margareta New Journal of Physics, Vol. 10, Issue 9 https://doi.org/10.1088/1367-2630/10/9/095019	journal	September 2008
Reversible work extraction in a hybrid opto-mechanical system Elouard, Cyril; Richard, Maxime; Auffèves, Alexia New Journal of Physics, Vol. 17, Issue 5 https://doi.org/10.1088/1367-2630/17/5/055018	journal	May 2015
Memory Effects in Irreversible Thermodynamics Zwanzig, Robert Physical Review, Vol. 124, Issue 4 https://doi.org/10.1103/PhysRev.124.983	journal	November 1961
Cooling in the single-photon strong-coupling regime of cavity optomechanics Nunnenkamp, A.; Børkje, K.; Girvin, S. M. Physical Review A, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevA.85.051803	journal	May 2012
Optical driving of macroscopic mechanical motion by a single two-level system Auffèves, A.; Richard, M. Physical Review A, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevA.90.023818	journal	August 2014
Nonperturbative approach to system-reservoir dynamics in the strong-coupling regime and non-Markovian dynamics Batalhão, T. B.; de Moraes Neto, G. D.; de Ponte, M. A. Physical Review A, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevA.90.032105	journal	September 2014
Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems Iles-Smith, Jake; Lambert, Neill; Nazir, Ahsan Physical Review A, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevA.90.032114	journal	September 2014
Model for calorimetric measurements in an open quantum system Donvil, Brecht; Muratore-Ginanneschi, Paolo; Pekola, Jukka P. Physical Review A, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevA.97.052107	journal	May 2018
Cooling a micromechanical resonator by quantum back-action from a noisy qubit Wang, Ying-Dan; Li, Yong; Xue, Fei Physical Review B, Vol. 80, Issue 14 https://doi.org/10.1103/PhysRevB.80.144508	journal	October 2009
Cooling of mechanical motion with a two-level system: The high-temperature regime Rabl, P. Physical Review B, Vol. 82, Issue 16 https://doi.org/10.1103/PhysRevB.82.165320	journal	October 2010
Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise Hu, B. L.; Paz, Juan Pablo; Zhang, Yuhong Physical Review D, Vol. 45, Issue 8 https://doi.org/10.1103/PhysRevD.45.2843	journal	April 1992
Markovian master equation and thermodynamics of a two-level system in a strong laser field Szczygielski, Krzysztof; Gelbwaser-Klimovsky, David; Alicki, Robert Physical Review E, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevE.87.012120	journal	January 2013
Minimal universal quantum heat machine Gelbwaser-Klimovsky, D.; Alicki, R.; Kurizki, G. Physical Review E, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevE.87.012140	journal	January 2013
Energy flow in periodic thermodynamics Langemeyer, Matthias; Holthaus, Martin Physical Review E, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevE.89.012101	journal	January 2014
Cavity-Assisted Quantum Bath Engineering Murch, K. W.; Vool, U.; Zhou, D. Physical Review Letters, Vol. 109, Issue 18 https://doi.org/10.1103/PhysRevLett.109.183602	journal	October 2012
Single Molecule Detection of Nanomechanical Motion Puller, Vadim; Lounis, Brahim; Pistolesi, Fabio Physical Review Letters, Vol. 110, Issue 12 https://doi.org/10.1103/PhysRevLett.110.125501	journal	March 2013
Quantum Optomechanical Heat Engine Zhang, Keye; Bariani, Francesco; Meystre, Pierre Physical Review Letters, Vol. 112, Issue 15 https://doi.org/10.1103/PhysRevLett.112.150602	journal	April 2014
Strain Coupling of a Nitrogen-Vacancy Center Spin to a Diamond Mechanical Oscillator Teissier, J.; Barfuss, A.; Appel, P. Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.020503	journal	July 2014
All-Optical Nanomechanical Heat Engine Dechant, Andreas; Kiesel, Nikolai; Lutz, Eric Physical Review Letters, Vol. 114, Issue 18 https://doi.org/10.1103/PhysRevLett.114.183602	journal	May 2015
Nonequilibrium Equality for Free Energy Differences Jarzynski, C. Physical Review Letters, Vol. 78, Issue 14 https://doi.org/10.1103/PhysRevLett.78.2690	journal	April 1997
Laser Cooling of a Nanomechanical Resonator Mode to its Quantum Ground State Wilson-Rae, I.; Zoller, P.; Imamoḡlu, A. Physical Review Letters, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevLett.92.075507	journal	February 2004
Introduction to quantum noise, measurement, and amplification Clerk, A. A.; Devoret, M. H.; Girvin, S. M. Reviews of Modern Physics, Vol. 82, Issue 2 https://doi.org/10.1103/RevModPhys.82.1155	journal	April 2010
Quantum sensing Degen, C. L.; Reinhard, F.; Cappellaro, P. Reviews of Modern Physics, Vol. 89, Issue 3 https://doi.org/10.1103/RevModPhys.89.035002	journal	July 2017
Entangling Mechanical Motion with Microwave Fields Palomaki, T. A.; Teufel, J. D.; Simmonds, R. W. Science, Vol. 342, Issue 6159 https://doi.org/10.1126/science.1244563	journal	October 2013

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