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  Laser Theory for Optomechanics: Limit Cycles in the Quantum Regime

Lörch, N., Qian, J., Clerk, A., Marquardt, F., & Hammerer, K. (2014). Laser Theory for Optomechanics: Limit Cycles in the Quantum Regime. Physical Review X, 4: 011015. doi:10.1103/PhysRevX.4.011015.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-A04B-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-A04C-6
Genre: Journal Article

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 Creators:
Lörch, Niels1, Author
Qian, Jiang, Author
Clerk, Aashish, Author
Marquardt, Florian, Author
Hammerer, Klemens1, Author              
Affiliations:
1Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24010              

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Free keywords: Quantum Physics, quant-ph, Condensed Matter, Mesoscale and Nanoscale Physics, cond-mat.mes-hall
 Abstract: 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. [Physical Review Letters, 109, 253601 (2012)]. Here we derive a Fokker-Planck equation describing mechanical limit cycles in the quantum regime which 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's 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 general approach taken here provides a natural starting point for further studies of quantum effects in optomechanics.

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 Dates: 2013-10-042014-02-102014
 Publication Status: Published in print
 Pages: 17 pages, 7 figures
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1310.1298
DOI: 10.1103/PhysRevX.4.011015
URI: http://arxiv.org/abs/1310.1298
 Degree: -

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Title: Physical Review X
  Other : Phys. Rev. X
  Abbreviation : PHYS REV X
Source Genre: Journal
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Publ. Info: AMER PHYSICAL SOC
Pages: - Volume / Issue: 4 Sequence Number: 011015 Start / End Page: - Identifier: Other: 2160-3308
CoNE: https://pure.mpg.de/cone/journals/resource/2160-3308