The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Stochastic wave-function method for non-Markovian quantum master equations
Open accessAbstract
A generalization of the stochastic wave-function method to quantum master equations which are not in Lindblad form is developed. The proposed stochastic unraveling is based on a description of the reduced system in a doubled Hilbert space and it is shown that this method is capable of simulating quantum master equations with negative transition rates. Non-Markovian effects in the reduced systems dynamics can be treated within this approach by employing the time-convolutionless projection operator technique. This ansatz yields a systematic perturbative expansion of the reduced systems dynamics in the coupling strength. Several examples such as the damped Jaynes-Cummings model and the spontaneous decay of a two-level system into a photonic band gap are discussed. The power as well as the limitations of the method are demonstrated.
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Cites
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
Gardiner, C. W. (1991) · Springer Series in Synergetics · doi:10.1007/978-3-662-09642-0 · Cited by 993
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
Dynamics of non-Markovian open quantum systems
de Vega, I., & Alonso, D. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.015001 · Cited by 1,234
Quantum trajectories and open many-body quantum systems
Daley, A. J. (2014) · Advances in Physics · doi:10.1080/00018732.2014.933502 · Cited by 853
Concepts and Methods in the Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2003) · Lecture Notes in Physics · doi:10.1007/3-540-44874-8_4 · Cited by 746
Self-citationQuantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
Deffner, S., & Campbell, S. (2017) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/aa86c6 · Cited by 585
Quantum Speed Limit for Non-Markovian Dynamics
Deffner, S., & Lutz, E. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.010402 · Cited by 511
Metadata
- Authors
- Breuer, H.-P., Kappler, B., & Petruccione, F.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1999-02-01
- Volume
- 59
- Issue
- 2
- Pages
- 1633-1643
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2008181027
- Cited by
- 322
- References
- 5
- FWCI
- 4.27
- Type
- journal article
- Language
- en
- Open access
- green
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- Breuer, H.-P., Kappler, B., & Petruccione, F. (1999). Stochastic wave-function method for non-Markovian quantum master equations. Physical Review A. https://doi.org/10.1103/physreva.59.1633
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