dorsal/arxiv
View SchemaTheory of Pseudomodes in Quantum Optical Processes
| Authors | B. J. Dalton, S. M. Barnett, B. M. Garraway |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102142 |
| URL | https://arxiv.org/abs/quant-ph/0102142 |
| DOI | 10.1103/PhysRevA.64.053813 |
| Journal | Phys. Rev. A 64, 053813 (2001) |
Abstract
This paper deals with non-Markovian behaviour in atomic systems coupled to a structured reservoir of quantum EM 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 pseudo mode theory for single quantum reservoir excitations can be obtained by applying the Fano diagonalisation 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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"abstract": "This paper deals with non-Markovian behaviour in atomic systems coupled to a\nstructured reservoir of quantum EM field modes, with particular relevance to\natoms interacting with the field in high Q cavities or photonic band gap\nmaterials. In cases such as the former, we show that the pseudo mode theory for\nsingle quantum reservoir excitations can be obtained by applying the Fano\ndiagonalisation method to a system in which the atomic transitions are coupled\nto a discrete set of (cavity) quasimodes, which in turn are coupled to a\ncontinuum set of (external) quasimodes with slowly varying coupling constants\nand continuum mode density. Each pseudomode can be identified with a discrete\nquasimode, which gives structure to the actual reservoir of true modes via the\nexpressions for the equivalent atom-true mode coupling constants. The quasimode\ntheory enables cases of multiple excitation of the reservoir to now be treated\nvia Markovian master equations for the atom-discrete quasimode system.\nApplications of the theory to one, two and many discrete quasimodes are made.\nFor a simple photonic band gap model, where the reservoir structure is\nassociated with the true mode density rather than the coupling constants, the\nsingle quantum excitation case appears to be equivalent to a case with two\ndiscrete quasimodes.",
"arxiv_id": "quant-ph/0102142",
"authors": [
"B. J. Dalton",
"S. M. Barnett",
"B. M. Garraway"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.053813",
"journal_ref": "Phys. Rev. A 64, 053813 (2001)",
"title": "Theory of Pseudomodes in Quantum Optical Processes",
"url": "https://arxiv.org/abs/quant-ph/0102142"
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