Theory of pseudomodes in quantum optical processes

Dalton, B. J., Barnett, S. M. and Garraway, B. M. (2001) Theory of pseudomodes in quantum optical processes. Physical Review A, 64 5: 053813. doi:10.1103/PhysRevA.64.053813

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Author Dalton, B. J.
Barnett, S. M.
Garraway, B. M.
Title Theory of pseudomodes in quantum optical processes
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2001
Sub-type Article (original research)
DOI 10.1103/PhysRevA.64.053813
Open Access Status File (Publisher version)
Volume 64
Issue 5
Start page 053813
Total pages 21
Editor B. Crasemann
Place of publication United States
Publisher American Physical Society
Collection year 2001
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
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.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Photonic Band-edge
Wave-function Approach
Macroscopic Canonical Quantization
Whispering-gallery Modes
Spontaneous Emission
Resonance Fluorescence
Master Equation
Field Quantization
Standard Model
2-level Atom
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 74 times in Thomson Reuters Web of Science Article | Citations
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Created: Tue, 14 Aug 2007, 15:41:32 EST