Laser theory for optomechanics: Limit cycles in the quantum regime

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dc.identifier.uri http://dx.doi.org/10.15488/951
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/975
dc.contributor.author Lörch, Niels
dc.contributor.author Qian, Jiang
dc.contributor.author Clerk, Aashish
dc.contributor.author Marquardt, Florian
dc.contributor.author Hammerer, Klemens
dc.date.accessioned 2016-12-22T07:22:16Z
dc.date.available 2016-12-22T07:22:16Z
dc.date.issued 2014
dc.identifier.citation Lörch, N.; Qian, J.; Clerk, A.; Marquardt, F.; Hammerer, K.: Laser theory for optomechanics: Limit cycles in the quantum regime. In: Physical Review X 4 (2014), Nr. 1, 11015. DOI: https://doi.org/10.1103/PhysRevX.4.011015
dc.description.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. [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. eng
dc.language.iso eng
dc.publisher New York : American Physical Society
dc.relation.ispartofseries Physical Review X 4 (2014)
dc.rights CC BY 3.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/3.0/
dc.subject Quantum physics eng
dc.subject Monte Carlo methods eng
dc.subject Quantum electronics eng
dc.subject Master equations eng
dc.subject Mechanical resonators eng
dc.subject Nanophysics eng
dc.subject Numerical solution eng
dc.subject Opto-mechanical systems eng
dc.subject Strong-coupling regime eng
dc.subject Wigner functions eng
dc.subject Laser theory eng
dc.subject.ddc 530 | Physik ger
dc.title Laser theory for optomechanics: Limit cycles in the quantum regime
dc.type article
dc.type Text
dc.relation.issn 21603308
dc.relation.doi https://doi.org/10.1103/PhysRevX.4.011015
dc.bibliographicCitation.issue 1
dc.bibliographicCitation.volume 4
dc.bibliographicCitation.lastPage 11015
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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