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Quantum noise spectra for periodically driven cavity optomechanics

Aranas, EB; Akram, MJ; Malz, D; Monteiro, TS; (2017) Quantum noise spectra for periodically driven cavity optomechanics. Physical Review A , 96 (6) , Article 063836. 10.1103/PhysRevA.96.063836. Green open access

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Abstract

A growing number of experimental setups in cavity optomechanics exploit periodically driven fields. However, such setups are not amenable to analysis by using simple, yet powerful, closed-form expressions of linearized optomechanics, which have provided so much of our present understanding of experimental optomechanics. In the present paper, we formulate a method to calculate quantum noise spectra in modulated optomechanical systems, which we analyze, compare, and discuss with two other recently proposed solutions: we term these (i) frequency-shifted operators, (ii) Floquet [Phys. Rev. A 94, 023803 (2016)], and (iii) iterative analysis [New J. Phys. 18, 113021 (2016)]. We prove that (i) and (ii) yield equivalent noise spectra and find that (iii) is an analytical approximation to (i) for weak modulations. We calculate the noise spectra of a doubly modulated system describing experiments of levitated particles in hybrid electro-optical traps. We show excellent agreement with Langevin stochastic simulations in the thermal regime and predict squeezing in the quantum regime. Finally, we reveal how otherwise-inaccessible spectral components of a modulated system can be measured in heterodyne detection through an appropriate choice of modulation frequencies.

Type: Article
Title: Quantum noise spectra for periodically driven cavity optomechanics
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevA.96.063836
Publisher version: https://doi.org/10.1103/PhysRevA.96.063836
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, DIFFERENTIAL-EQUATIONS, MECHANICAL OSCILLATOR, GROUND-STATE, MOTION
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/10042462
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