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Stochastic electrodynamics simulations for collective atom response in optical cavities

Stochastic electrodynamics simulations for collective atom response in optical cavities
Stochastic electrodynamics simulations for collective atom response in optical cavities
We study the collective optical response of an atomic ensemble confined within a single-mode optical cavity by stochastic electrodynamics simulations that include the effects of atomic position correlations, internal level structure, and spatial variations in cavity coupling strength and atom density. In the limit of low light intensity the simulations exactly reproduce the full quantum field-theoretical description for cold stationary atoms and at higher light intensities we introduce semiclassical approximations to atomic saturation that we compare with the exact solution in the case of two atoms. We find that collective subradiant modes of the atoms, with very narrow linewidths, can be coupled to the cavity field by spatial variation of the atomic transition frequency and resolved at low intensities, and show that they can be specifically driven by tailored transverse pumping beams. We show that the cavity optical response, in particular both the subradiant mode profile and the resonance shift of the cavity mode, can be used as a diagnostic tool for the position correlations of the atoms and hence the atomic quantum many-body phase. The quantum effects are found to be most prominent close to the narrow subradiant mode resonances at high light intensities. Although an optical cavity can generally strongly enhance quantum fluctuations via light confinement, we show that the semiclassical approximation to the stochastic electrodynamics model provides at least a qualitative agreement with the exact optical response outside the subradiant mode resonances even in the presence of significant saturation of the atoms.
quant-ph, cond-mat.quant-gas, physics.atom-ph
1050-2947
Lee, Mark D.
c99e32c7-e47e-46ac-8a24-aecd437fc5f1
Jenkins, Stewart D.
65d861fb-b85a-4927-805a-7c906fca26c6
Bronstein, Yael
1f10270b-5f19-48c7-87d5-cb0dbce9df4c
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Lee, Mark D.
c99e32c7-e47e-46ac-8a24-aecd437fc5f1
Jenkins, Stewart D.
65d861fb-b85a-4927-805a-7c906fca26c6
Bronstein, Yael
1f10270b-5f19-48c7-87d5-cb0dbce9df4c
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4

Lee, Mark D., Jenkins, Stewart D., Bronstein, Yael and Ruostekoski, Janne (2017) Stochastic electrodynamics simulations for collective atom response in optical cavities. Physical Review A, 96 (8), [023855]. (doi:10.1103/PhysRevA.96.023855).

Record type: Article

Abstract

We study the collective optical response of an atomic ensemble confined within a single-mode optical cavity by stochastic electrodynamics simulations that include the effects of atomic position correlations, internal level structure, and spatial variations in cavity coupling strength and atom density. In the limit of low light intensity the simulations exactly reproduce the full quantum field-theoretical description for cold stationary atoms and at higher light intensities we introduce semiclassical approximations to atomic saturation that we compare with the exact solution in the case of two atoms. We find that collective subradiant modes of the atoms, with very narrow linewidths, can be coupled to the cavity field by spatial variation of the atomic transition frequency and resolved at low intensities, and show that they can be specifically driven by tailored transverse pumping beams. We show that the cavity optical response, in particular both the subradiant mode profile and the resonance shift of the cavity mode, can be used as a diagnostic tool for the position correlations of the atoms and hence the atomic quantum many-body phase. The quantum effects are found to be most prominent close to the narrow subradiant mode resonances at high light intensities. Although an optical cavity can generally strongly enhance quantum fluctuations via light confinement, we show that the semiclassical approximation to the stochastic electrodynamics model provides at least a qualitative agreement with the exact optical response outside the subradiant mode resonances even in the presence of significant saturation of the atoms.

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More information

Submitted date: 2 March 2017
Accepted/In Press date: 6 July 2017
e-pub ahead of print date: 25 August 2017
Published date: August 2017
Keywords: quant-ph, cond-mat.quant-gas, physics.atom-ph
Organisations: Mathematical Sciences, Applied Mathematics

Identifiers

Local EPrints ID: 408386
URI: http://eprints.soton.ac.uk/id/eprint/408386
ISSN: 1050-2947
PURE UUID: 88338c07-1f9e-4533-9bcb-927006eec4f8

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Date deposited: 19 May 2017 04:04
Last modified: 16 Dec 2019 18:54

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