Equivalence between an optomechanical system and a Kerr medium

Aldana, Samuel; Bruder, Christoph; Nunnenkamp, Andreas

doi:10.1103/physreva.88.043826

Cited by 109 publications

(104 citation statements)

References 64 publications

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“…We thus obtain an effective unitary operator ξ eff acting on the cavity field, retaining all the information on the dynamics, and in particular on the anharmonicity parameter γ . We notice that the field experiences a Kerr nonlinearity when it enters the optomechanical cavity [45]. Also, we remark that Eq.…”

Section: Estimation Protocolmentioning

confidence: 96%

Probing anharmonicity of a quantum oscillator in an optomechanical cavity

Latmiral¹,

Armata²,

Genoni³

et al. 2016

Phys. Rev. A

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We present a way of measuring with high precision the anharmonicity of a quantum oscillator coupled to an optical field via radiation pressure. Our protocol uses a sequence of pulsed interactions to perform a loop in the phase space of the mechanical oscillator, which is prepared in a thermal state. We show how the optical field acquires a phase depending on the anharmonicity. Remarkably, one only needs small initial cooling of the mechanical motion to probe even small anharmonicities. Finally, by applying tools from quantum estimation theory, we calculate the ultimate bound on the estimation precision posed by quantum mechanics and compare it with the precision obtainable with feasible measurements such as homodyne and heterodyne detection on the cavity field. In particular we demonstrate that homodyne detection is nearly optimal in the limit of a large number of photons of the field and we discuss the estimation precision of small anharmonicities in terms of its signal-to-noise ratio.

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Section: Estimation Protocolmentioning

confidence: 96%

Probing anharmonicity of a quantum oscillator in an optomechanical cavity

Latmiral¹,

Armata²,

Genoni³

et al. 2016

Phys. Rev. A

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“…However, it is reasonable to expect that bistability will become an issue only when the driving field has sufficient spectral weight for frequencies with a detuning below − ffiffi ffi 3 p κ. In the following, we are mainly concerned with the cases of resonant or blue detuned drive, for which it turns out that bistability is not an issue [42][43][44].…”

Section: B Fokker-planck Equation For the Mechanical Oscillatormentioning

confidence: 99%

Laser Theory for Optomechanics: Limit Cycles in the Quantum Regime

et al. 2014

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Optomechanical systems can exhibit self-sustained limit cycles where the quantum state of the mechanical resonator possesses nonclassical characteristics such as a strongly negative Wigner density, as was shown recently in a numerical study by Qian et al. [Phys. Rev. Lett. 109, 253601 (2012)]. Here, we derive a Fokker-Planck equation describing mechanical limit cycles in the quantum regime that correctly reproduces the numerically observed nonclassical features. The derivation starts from the standard optomechanical master equation and is based on techniques borrowed from the laser theory due to Haake and Lewenstein. We compare our analytical model with numerical solutions of the master equation based on Monte Carlo simulations and find very good agreement over a wide and so far unexplored regime of system parameters. As one main conclusion, we predict negative Wigner functions to be observable even for surprisingly classical parameters, i.e., outside the single-photon strong-coupling regime, for strong cavity drive and rather large limit-cycle amplitudes. The approach taken here provides a natural starting point for further studies of quantum effects in optomechanics

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“…However these are not sufficient conditions [190]. For the system employed in this thesis, the static optomechanical bistability threshold, n c,thresh ≈ 2 · 10 6 , while the maximum mean intracavity photon numbers employed are 100 times smaller.…”

Section: Steady-state Shiftsmentioning

confidence: 99%

Quantum Limits on Measurement and Control of a Mechanical Oscillator

Sudhir

2018

Springer Theses

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PAR Vivishek SUDHIR JOSEPH CONRAD, Heart of DarknessExperimental physics demands a certain degree of manual dexterity, the patience to tolerate the mundane, and an inexhaustible supply of optimism. Tobias hired me to work on an immensely sophisticated experiment despite any proof of my possessing these qualities; I am indebted to him for the belief he has placed in me. I would also like to acknowledge his dedication to fostering an environment where the pursuit of science is unencumbered by other worldly concerns. Stefan, Ewold and Samuel bore the brunt of a theorist trying to perform delicate experiments; the stern, yet encouraging, stewardship of this trio ensured that I enjoyed the culture shock. Dal Wilson was more than a colleague and a post-doc; his pragmatic approach to physics provided the ideal counter-point in our attempts to forge a deeper understanding of things ranging from vibration isolation to the subtleties of quantum mechanics. Without the patient efforts of Amir, Ryan and Hendrik in designing, fabricating, and testing of devices, none of the results reported here would have been possible. I hope I have been able to bequeath a better vision of the future of our experiment to Sergey. Conversations with Alexey, Daniel and Nathan have enabled me to vicariously learn how to measure microwave "photons". John Jost once taught me how to decorate a Christmas tree; since then he has imparted some wisdom on frequency metrology, and some on atomic physics. Together with Dal, Victor and Caroline have probably spent the most time with me outside the lab; it was fun to exercise an air of social normalcy with this bunch. Christophe has been an amazing sparring partner on every subject capable of being brought under scientific scrutiny.The personal space required for the pursuit of science comes through the sacrifice of many people. My family back home in India -parents, sister, grand-parents -have had to patiently wait for the brief interludes when I go home. No words can do justice to this and the very many other pleasures they have surrendered over the years for my sake. Before physics attracted me, I was charmed by someone else; I am lucky to have married her. Long time friends, mentorsAjith and Subeesh -have played pivotal roles in my being able to engage in physics; I hope to repay this enormous debt, some day.It was a privilege to have learnt from a few great teachers during my formative years. Their vision of an indelible unity in nature continues to motivate my study of physics. vii AbstractThe precision measurement of position has a long-standing tradition in physics. Cavendish's verification of the universal law of gravitation using a torsion pendulum, Perrin's confirmation of the atomic hypothesis via the precise measurement of the Brownian motion, and, the verification of the mechanical effect of electromagnetic radiation, all belong to this classical heritage. Quantum mechanics posits that the measurement of position results in an uncertain momentum; an idea developed to full maturity within the ...

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Equivalence between an optomechanical system and a Kerr medium

Cited by 109 publications

References 64 publications

Probing anharmonicity of a quantum oscillator in an optomechanical cavity

Probing anharmonicity of a quantum oscillator in an optomechanical cavity

Laser Theory for Optomechanics: Limit Cycles in the Quantum Regime

Quantum Limits on Measurement and Control of a Mechanical Oscillator

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