Quantum Semi-Markov Processes
Open accessAbstract
We construct a large class of non-Markovian master equations that describe the dynamics of open quantum systems featuring strong memory effects, which relies on a quantum generalization of the concept of classical semi-Markov processes. General conditions for the complete positivity of the corresponding quantum dynamical maps are formulated. The resulting non-Markovian quantum processes allow the treatment of a variety of physical systems, as is illustrated by means of various examples and applications, including quantum optical systems and models of quantum transport.
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The master equations of the form given generate by construction completely positive dynamics, which provide a quantum counterpart of classical semi-Markov processes.
“Such master equations generate by construction completely positive dynamics, which provide a quantum counterpart of classical semi-Markov processes [5, 30].”
From Markovianity and non-Markovianity in quantum and classical systems (2011) · cites this paper as [5]
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References 28 · Cited by 126
Research works printed but not linked: 1
- [3]E. C. G. Sudarshan, P. M. Mathews, and J. Rau, Phys. Rev. 121 , 920 (1961); K. Kraus, States, Effects, and Operations , Lecture Notes in Physics, vol 190 (Springer, Berlin, 1983).
- Authors
- Breuer, H.-P., & Vacchini, B.
- Affiliations
- University of Freiburg (DE)
- University of Milan (IT)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-10-02
- Volume
- 101
- Issue
- 14
- Pages
- 140402-140402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2083486272
- Cited by
- 126
- References
- 28
- Citations by year
- 2025: 2 · 2024: 3 · 2023: 2 · 2022: 7 · 2021: 9 · 2020: 8 · 2019: 6 · 2018: 7 · 2017: 6 · 2016: 6 · 2015: 5 · 2014: 5 · 2013: 14 · 2012: 15
- FWCI
- 5.99
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano) (submittedVersion, other-oa)
- FreiDok plus (Universitätsbibliothek Freiburg) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- non-Markovian dynamics, open quantum systems, memory effects, master equation, complete positivity, quantum dynamical maps, quantum optical systems, quantum transport
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