Cited by 519Quantum optics and atomic interactionsStrong Light-Matter InteractionsQuantum Mechanics and Applications

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Nonperturbative decay of an atomic system in a cavity

Garraway, B. M.·1997·Physical Review A

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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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“However, in some cases such as quantum Brownian motion(QBM) [23] and a two-level atom interacting with a thermal reservoir with Lorentzian spectral density[24], an exactly analytic description of the open quantum system dynamic E-mail: zrxi@iss.”
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“Let us stress that in contrast to [18] and [14] the lower limit of integral here is 0 rather than −∞.”
BackgroundMethodInfluential
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Self-citation
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“Since the denominator is a cubic polynomial with real coefficients ( s → s − iω ), In closing this section, we would like to highlight that other equivalent approaches could be used to simulate the present model [43–45].”
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“These equations are identical to those of a QE coupled to a single cavity mode with decay rate κ ( d ) and effective coupling strength g ( d ) with In this view, the localized surface plasmon mode acts as an effective cavity mode or a single pseudomode [31], [46], [47], [48], [49].”
Influential
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“[23] which has been widely used in quantum optics [27], it was proved and applied only in the RWA.”
Method
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Method
Time-convolutionless master equation applied to adiabatic elimination
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“A sensible choice which fulfills these requirements is where is the fidelity between the Choi matrix at time t and its ergodic average, Υ ∞ := lim T →∞ where the second equality is valid for relaxing dynamics.”
Interplay between external driving, dissipation and collective effects in the Markovian and non-Markovian regimes
Dann, R. (2025) · Quantum · doi:10.22331/q-2025-05-12-1740 · Cited by 3
“Such an exact mapping is possible under the following conditions [63, 168]: (a) The environment is bosonic, (b) it is initially in a Gaussian state, (c) the bare environment Hamiltonian is quadratic in the bosonic creation and annihilation operators, and (d) the spectral density of the environment…”
Open Quantum Systems and Decoherence
Suominen, K. (2014) · Springer eBooks · doi:10.1007/978-3-319-04063-9_10 · Cited by 2
Time-Convolutionless Stochastic Unraveling of Non-Markovian Quantum Master Equations
Breuer, H., Kappler, B., & Petruccione, F. (2007) · Springer eBooks · doi:10.1007/3-540-46657-6_18 · Cited by 2
Critical conditions protecting entanglement
Giraldi, F., & Petruccione, F. (2013) · The European Physical Journal D · doi:10.1140/epjd/e2013-40245-8 · Cited by 2
Designing Reservoirs for 1/t Decoherence of a Qubit
Giraldi, F., & Petruccione, F. (2011) · Open Systems & Information Dynamics · doi:10.1142/s1230161211000194 · Cited by 2
Anomalies in Strongly Coupled Harmonic Quantum Brownian Motion
Giraldi, F., & Petruccione, F. (2013) · Open Systems & Information Dynamics · doi:10.1142/s1230161213500029 · Cited by 2
Thermal quantum speed limit for classical-driving open systems
Wu, W.-J., Yan, K., Wu, Y., & Hao, X. (2016) · Modern Physics Letters B · doi:10.1142/s0217984916503899 · Cited by 2
Evolution of entropy in different types of non-Markovian three-level systems: Single reservoir vs. two independent reservoirs
Jaghouri, H., Sarbishaei, M., & Javidan, K. (2015) · Pramana · doi:10.1007/s12043-015-1121-6 · Cited by 2
Non-Markovian Dynamics in Physical Systems
Breuer, H., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.003.10 · Cited by 2
Quantum measurements in spin-boson model under non-Markovian environment
Berrada, K., & Aldaghri, O. A. (2017) · Physica E Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2017.04.021 · Cited by 2
Quantum coherence preservation of atom with a classical driving field under non-Markovian environment
De-ying, G., Gao, Q., & Xia, Y. (2017) · Chinese Physics B · doi:10.1088/1674-1056/26/11/110303 · Cited by 2
Research on System Coherence Evolution of Different Environmental Models
Zhang, S., Lu, J., Li, H., Liu, J.-P., Zhang, X., Liu, H., Liang, Y., Ma, J., Liu, X., & Wu, X.-Y. (2017) · International Journal of Theoretical Physics · doi:10.1007/s10773-017-3633-y · Cited by 2
Controllable non-Markovianity in phase relaxation
Kukita, S., Kondo, Y., & Nakahara, M. (2020) · New Journal of Physics · doi:10.1088/1367-2630/abbfcf · Cited by 2
“Therefore, it is necessary for us to investigate open quantum systems in various environments theoretically [8–10] and experimentally [11–14].”
Background
Вывод квантового кинетического уравнения Редфилда и поправок к нему по методу Боголюбова
Trushechkin, A. S. (2021) · Труды Математического института им Стеклова · doi:10.4213/tm4184 · Cited by 2

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
DOI: 10.1103/physreva.55.2290
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
Licence: link.aps.org/licenses/aps-default-license (vor)
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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Nonperturbative decay of an atomic system in a cavity

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