Laser theory for optomechanics: Limit cycles in the quantum regime

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

Externe Organisationen

  • Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
  • Ludwig-Maximilians-Universität München (LMU)
  • McGill University
  • Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU Erlangen-Nürnberg)
  • Max-Planck-Institut für die Physik des Lichts
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer011015
FachzeitschriftPhysical Review X
Jahrgang4
Ausgabenummer1
PublikationsstatusVeröffentlicht - 31 Jan. 2014

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.

ASJC Scopus Sachgebiete

Zitieren

Laser theory for optomechanics: Limit cycles in the quantum regime. / Lörch, Niels; Qian, Jiang; Clerk, Aashish et al.
in: Physical Review X, Jahrgang 4, Nr. 1, 011015, 31.01.2014.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Lörch N, Qian J, Clerk A, Marquardt F, Hammerer K. Laser theory for optomechanics: Limit cycles in the quantum regime. Physical Review X. 2014 Jan 31;4(1):011015. doi: 10.1103/PhysRevX.4.011015
Lörch, Niels ; Qian, Jiang ; Clerk, Aashish et al. / Laser theory for optomechanics : Limit cycles in the quantum regime. in: Physical Review X. 2014 ; Jahrgang 4, Nr. 1.
Download
@article{1aa8778b5d684d0f966288487df0a935,
title = "Laser theory for optomechanics: Limit cycles in the quantum regime",
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.",
keywords = "Nanophysics, Quantum physics",
author = "Niels L{\"o}rch and Jiang Qian and Aashish Clerk and Florian Marquardt and Klemens Hammerer",
year = "2014",
month = jan,
day = "31",
doi = "10.1103/PhysRevX.4.011015",
language = "English",
volume = "4",
journal = "Physical Review X",
issn = "2160-3308",
publisher = "American Physical Society",
number = "1",

}

Download

TY - JOUR

T1 - Laser theory for optomechanics

T2 - Limit cycles in the quantum regime

AU - Lörch, Niels

AU - Qian, Jiang

AU - Clerk, Aashish

AU - Marquardt, Florian

AU - Hammerer, Klemens

PY - 2014/1/31

Y1 - 2014/1/31

N2 - 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.

AB - 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.

KW - Nanophysics

KW - Quantum physics

UR - http://www.scopus.com/inward/record.url?scp=84900341620&partnerID=8YFLogxK

UR - https://journals.aps.org/prx/abstract/10.1103/PhysRevX.4.019902

U2 - 10.1103/PhysRevX.4.011015

DO - 10.1103/PhysRevX.4.011015

M3 - Article

AN - SCOPUS:84900341620

VL - 4

JO - Physical Review X

JF - Physical Review X

SN - 2160-3308

IS - 1

M1 - 011015

ER -

Von denselben Autoren