Garraway-theory_of_pseudomodes.pdf (356.46 kB)
Theory of pseudomodes in quantum optical processes
journal contribution
posted on 2023-06-07, 23:18 authored by B J Dalton, Stephen M Barnett, Barry M. GarrawayBarry M. GarrawayThis 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.
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Publication status
- Published
File Version
- Published version
Journal
Physical Review AISSN
1050-2947External DOI
Issue
5Volume
64Page range
053813Department affiliated with
- Physics and Astronomy Publications
Notes
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.Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06First Open Access (FOA) Date
2016-03-22First Compliant Deposit (FCD) Date
2016-11-16Usage metrics
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