Influence functional for two mirrors interacting via radiation pressure

Butera, S. (2022) Influence functional for two mirrors interacting via radiation pressure. Physical Review D, 105(1), 016023. (doi: 10.1103/PhysRevD.105.016023)

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We study the effective dynamics of two mirrors, forming an optical cavity, and interacting with the cavity field via radiation pressure. We pursue a perturbative influence functional approach to trace out the degrees of freedom of the field, and obtain the second-order effective action for the system composed by the mirrors. We find that the interaction between the mirrors is mediated by pairs of field modes, which combine in such a way to give rise to two different interaction channels. We find that the quantum and thermal fluctuations of the cavity field result in colored, Gaussian stochastic noises acting on the mirrors. To each of these noises is associated a dissipative effect, and the corresponding power spectra and susceptibilities are related via generalized fluctuation-dissipation relations. We finally demonstrate that the dynamics of the mirrors admits a stochastic interpretation, and give the relative quantum Langevin equations.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Butera, Dr Salvatore
Authors: Butera, S.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review D
Publisher:American Physical Society
ISSN (Online):2470-0029
Published Online:28 January 2022
Copyright Holders:Copyright © 2022 American Physical Society
First Published:First published in Physical Review D 105(1): 016023
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
306690Analog models of quantum fields and their backgroundStephen BarnettLeverhulme Trust (LEVERHUL)ECF-2019-461P&S - Physics & Astronomy