Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath
Open accessAbstract
We apply the time-convolutionless (TCL) projection operator technique to the model of a central spin, which is coupled to a spin bath via nonuniform Heisenberg interaction. The second-order results of the TCL method for the coherences and populations of the central spin are determined analytically and compared to numerical simulations of the full von Neumann equation of the total system. The TCL approach is found to yield an excellent approximation in the strong field regime for the description of both the short-time dynamics and the long time behavior.
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The converse of the statement that non-Markovian processes are non-divisible is not true: there exist non-divisible dynamical processes which are Markovian in the sense of the paper's definition.
“However, it is important to note that the converse of this statement is not true, i.e., there exist non-divisible dynamical processes which are Markovian in the sense of the above definition.”
From Foundations and measures of quantum non-Markovianity (2012) · cites this paper as [36]
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Foundations and measures of quantum non-Markovianity
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- Authors
- Ferraro, E., Breuer, H.-P., Napoli, A., Jivulescu, M. A., & Messina, A.
- Affiliations
- University of Palermo (IT)
- University of Freiburg (DE)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2008-08-27
- Volume
- 78
- Issue
- 6
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2047494947
- Cited by
- 75
- References
- 21
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 3 · 2023: 1 · 2022: 4 · 2021: 2 · 2020: 3 · 2019: 2 · 2018: 3 · 2017: 3 · 2016: 4 · 2015: 4 · 2014: 5 · 2013: 4 · 2012: 7
- FWCI
- 5.20
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- FreiDok plus (Universitätsbibliothek Freiburg) (submittedVersion)
- Nova Science Publishers (Nova Science Publishers, Inc.) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- non-Markovian dynamics, central spin model, electron spin, nuclear spin bath, Heisenberg exchange interaction, von Neumann equation, spin coherence, strong-field regime
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