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Two-timescale stochastic Langevin propagation for classical and quantum optomechanics

Akram, MJ; Aranas, EB; Bullier, NP; Lang, JE; Monteiro, TS; (2018) Two-timescale stochastic Langevin propagation for classical and quantum optomechanics. Physical Review A , 98 (6) , Article 063827. 10.1103/PhysRevA.98.063827. Green open access

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Abstract

Interesting experimental signatures of quantum cavity optomechanics arise because the quantum back-action induces correlations between incident quantum shot noise and the cavity field. While the quantum linear theory of optomechanics (QLT) has provided vital understanding across many experimental platforms, in certain new setups it may be insufficient: analysis in the time domain may be needed, but QLT obtains only spectra in frequency space; and nonlinear behavior may be present. Direct solution of the stochastic equations of motion in time is an alternative, but unfortunately standard methods do not preserve the important optomechanical correlations. We introduce two-timescale stochastic Langevin (T2SL) propagation as an efficient and straightforward method to obtain time traces with the correct correlations. We show that T2SL, in contrast to standard stochastic simulations, can efficiently simulate correlation phenomena such as ponderomotive squeezing and reproduces accurately cavity sideband structures on the scale of the applied quantum noise and even complex features entirely submerged below the quantum shot noise imprecision floor. We investigate nonlinear regimes and find that, where comparison is possible, the method agrees with analytical results obtained with master equations at low temperatures and in perturbative regimes.

Type: Article
Title: Two-timescale stochastic Langevin propagation for classical and quantum optomechanics
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevA.98.063827
Publisher version: http://doi.org/10.1103/PhysRevA.98.063827
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Physical Sciences, Optics, Physics, Atomic, Molecular & Chemical, Physics, CAVITY, NOISE, LIGHT
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10067245
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