Influence functional for two mirrors interacting via radiation pressure
- URL: http://arxiv.org/abs/2111.11065v1
- Date: Mon, 22 Nov 2021 09:25:28 GMT
- Title: Influence functional for two mirrors interacting via radiation pressure
- Authors: Salvatore Butera
- Abstract summary: We study the effective dynamics of two mirrors, forming an optical cavity, and interacting with the cavity field via radiation pressure.
We find that the quantum and thermal fluctuations of the cavity field result in coloured, Gaussian 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-dissipation relations.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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 coloured, 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.
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