Analytical description of quantum emission in optical analogues to gravity

We consider a moving refractive index perturbation in an optical medium as an optical analogue to waves under the influence of gravity. We describe the dielectric medium by the Lagrangian of the Hopfield model. We supplement the field theory in curved spacetime for this model to solve the scattering...

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Bibliographic Details
Published in:arXiv.org 2020-06
Main Authors: Jacquet, Maxime J, Koenig, Friedrich
Format: Article
Language:English
Subjects:
Emission analysis
Emission spectra
Event horizon
Field theory
Gravitation
Perturbation
Refractivity
Spontaneous emission
Online Access:Get full text
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Summary:We consider a moving refractive index perturbation in an optical medium as an optical analogue to waves under the influence of gravity. We describe the dielectric medium by the Lagrangian of the Hopfield model. We supplement the field theory in curved spacetime for this model to solve the scattering problem for all modes and frequencies analytically. Because of dispersion, the kinematic scenario of the field modes may contain optical event horizons for some frequencies. We calculate the spectra of spontaneous emission in the frame co-moving with the perturbation and in the laboratory frame. We also calculate the spectrally-resolved photon number correlations in either frame. The emitted multimode field comes in different types depending on the presence of horizons. We show that these types are robust against changes in the system parameters and thus are genuine features of optical and non-optical analogues. These methods and findings pave the way to new observations of analogue gravity in dispersive systems.
ISSN:2331-8422
DOI:10.48550/arxiv.1908.02060