Theory of pseudomodes in quantum optical processes

Dalton, B J, Barnett, Stephen M and Garraway, B M (2001) Theory of pseudomodes in quantum optical processes. Physical Review A, 64 (5). 053813. ISSN 1050-2947

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Abstract

This paper deals with non-Markovian behavior in atomic systems coupled to a structured reservoir of quantum electromagnetic field modes, with particular relevance to atoms interacting with the field in high-Q cavities or photonic band-gap materials. In cases such as the former, we show that the pseudomode theory for single-quantum reservoir excitations can be obtained by applying the Fano diagonalization method to a system in which the atomic transitions are coupled to a discrete set of (cavity) quasimodes, which in turn are coupled to a continuum set of (external) quasimodes with slowly varying coupling constants and continuum mode density. Each pseudomode can be identified with a discrete quasimode, which gives structure to the actual reservoir of true modes via the expressions for the equivalent atom-true mode coupling constants. The quasimode theory enables cases of multiple excitation of the reservoir to now be treated via Markovian master equations for the atom-discrete quasimode system. Applications of the theory to one, two, and many discrete quasimodes are made. For a simple photonic band-gap model, where the reservoir structure is associated with the true mode density rather than the coupling constants, the single quantum excitation case appears to be equivalent to a case with two discrete quasimodes.

Item Type: Article
Additional Information: The theory of pseudomodes in decay processes was formerly restricted to single excitations. This paper shows for the first time how a link can be made to multiple excitations. This extends the validity of pseudomode theory to many more quantum systems.
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Depositing User: Barry Garraway
Date Deposited: 06 Feb 2012 19:32
Last Modified: 07 Mar 2017 04:55
URI: http://sro.sussex.ac.uk/id/eprint/21153

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