Theory of pseudomodes in quantum optical processes
By B. Dalton, Stephen M. Barnett, B. Garraway. 2001
153 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/9922f19b13231ec0fda8d844f8c103fc1edff535
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In Atomic and Molecular Physics, and Optics
In Electrical and Electronic Engineering
Citations in the corpus
- Optical resonators with whispering-gallery modes-part II: applications (2006, methodology): “Properties of atomic interaction with the field of a high-Q cavity was studied in [139] using “pseudomode” theory.”
- Dynamics of non-Markovian open quantum systems (2015, methodology): “This method provides an exact solution and is particularly convenient when there is only one excitation in the total system, although generalizations to tackle the multipleexcitation case have also been developed (Dalton et al., 2001; Dalton and Garraway, 2003).”