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Nonperturbative decay of an atomic system in a cavity
Abstract
Atoms can nowadays be placed in increasingly exotic environments such as microscopic cavities and materials with photonic band gaps. High-Q cavities can now easily result in a strong coupling between an atom and its environment where perturbation theory should no longer be appropriate. The purpose of this paper is to describe the dynamics of a multilevel V-type atomic system (including the case of a two-level system) which interacts with a reservoir modeled by a generalized density of states. A theoretical construct, the pseudomode, is utilized to develop general methods for solution. Without using perturbation theory the equivalent master equation is developed and the relationship between the master equation, the pseudomodes, and the generalized density of states function is explored with examples. Utilizing a straightforward definition of the pseudomode, it is found that many functions for the density of states lead to problematic non-Lindblad master equations. Several examples are given, and it is shown how to convert the non-Lindblad master equations into a Lindblad form in these cases. The examples include a non-Lorentzian resonance and a simple model of a photonic band gap.
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“Furthermore, it is well-known that non-Markovian dynamics better preserve quantum information, as non-Markovianity induces a backflow of quantum information from the reservoir to the central spin [106,107,108,109,110,111,112,113,114,115,116].”
From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [108]
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Metadata
- Authors
- Garraway, B. M.
- Affiliations
- Imperial College London (GB)
- Corresponding author
- Garraway, B. M.
- ORCID
- Garraway, B. M.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1997-03-01
- Volume
- 55
- Issue
- 3
- Pages
- 2290-2303
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2069207980
- Cited by
- 518
- References
- 31
- Citations by year
- 2026: 53 · 2025: 41 · 2024: 40 · 2023: 32 · 2022: 24 · 2021: 32 · 2020: 27 · 2019: 28 · 2018: 24 · 2017: 20 · 2016: 17 · 2015: 18 · 2014: 14 · 2013: 12 · 2012: 19
- FWCI
- 5.75
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review A (publishedVersion)
- Funders
- European Commission
- Engineering and Physical Sciences Research Council
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- atom-cavity coupling, two-level system, pseudomodes, Lindblad master equation, photonic band gap, high-Q cavity, open quantum systems
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