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Theory of pseudomodes in quantum optical processes

Dalton, B.J. and Barnett, Stephen M. and Garraway, B.M. (2001) Theory of pseudomodes in quantum optical processes. Physical Review A, 64 (5). 053813/1-053813/21. 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
    ID code: 6482
    Keywords: non-Markovian behavior, atomic systems, cavities, pseudomode theory, quantum, photonic band-gap, quasimodes, Optics. Light, Physics, Atomic and Molecular Physics, and Optics
    Subjects: Science > Physics > Optics. Light
    Science > Physics
    Department: Faculty of Science > Physics
    Related URLs:
    Depositing user: Miss Darcy Spiller
    Date Deposited: 09 Jul 2008
    Last modified: 05 Sep 2014 13:19
    URI: http://strathprints.strath.ac.uk/id/eprint/6482

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