The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Non-Markovian quantum-state diffusion: Perturbation approach
Open accessAbstract
We present a perturbation theory for non-Markovian quantum-state diffusion (QSD), the theory of diffusive quantum trajectories for open systems in a bosonic environment [Phys. Rev. A 58, 1699 (1998)]. We establish a systematic expansion in the ratio between the environmental correlation time and the typical system time scale. The leading order recovers the Markov theory, so here we concentrate on the next-order correction corresponding to first-order non-Markovian master equations. These perturbative equations greatly simplify the general non-Markovian QSD approach, and allow for efficient numerical simulations beyond the Markov approximation. Furthermore, we show that each perturbative scheme for QSD naturally gives rise to a perturbative scheme for the master equation which we study in some detail. Analytical and numerical examples are presented, including the quantum Brownian motion model.
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Cites
The quantum-jump approach to dissipative dynamics in quantum optics
Plenio, M. B., & Knight, P. L. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.101 · Cited by 1,515
Hu, B. L., Paz, J. P., & Zhang, Y. (1992) · Physical Review D · doi:10.1103/physrevd.45.2843 · Cited by 996
Nonperturbative decay of an atomic system in a cavity
Garraway, B. M. (1997) · Physical Review A · doi:10.1103/physreva.55.2290 · Cited by 518
Stochastic wave-function approach to non-Markovian systems
Imamog¯lu, A. (1994) · Physical Review A · doi:10.1103/physreva.50.3650 · Cited by 215
Decay of an atom coupled strongly to a reservoir
Garraway, B. M. (1997) · Physical Review A · doi:10.1103/physreva.55.4636 · Cited by 188
Cited by
Roden, J., Eisfeld, A., Wolff, W., & Strunz, W. T. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.058301 · Cited by 109
Self-citationPachón, L. A., & Brumer, P. (2012) · Physical Chemistry Chemical Physics · doi:10.1039/c2cp40815e · Cited by 101
Ritschel, G., Roden, J., Strunz, W. T., Aspuru-Guzik, A., & Eisfeld, A. (2011) · The Journal of Physical Chemistry Letters · doi:10.1021/jz201119j · Cited by 94
Self-citationRitschel, G., Roden, J., Strunz, W. T., & Eisfeld, A. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/11/113034 · Cited by 88
Self-citationNon-Markovian Gaussian dissipative stochastic wave vector
Budini, A. A. (2000) · Physical Review A · doi:10.1103/physreva.63.012106 · Cited by 67
Metadata
- Authors
- Yu, T., Diósi, L., Gisin, N., & Strunz, W. T.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1999-07-01
- Volume
- 60
- Issue
- 1
- Pages
- 91-103
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2089719993
- Cited by
- 228
- References
- 5
- FWCI
- 3.59
- Type
- journal article
- Language
- en
- Open access
- green
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