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General Non-Markovian Dynamics of Open Quantum Systems
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We present a general theory of non-Markovian dynamics for open systems of noninteracting fermions (bosons) linearly coupled to thermal environments of noninteracting fermions (bosons). We explore the non-Markovian dynamics by connecting the exact master equations with the nonequilibirum Green's functions. Environmental backactions are fully taken into account. The non-Markovian dynamics consists of nonexponential decays and dissipationless oscillations. Nonexponential decays are induced by the discontinuity in the imaginary part of the self-energy corrections. Dissipationless oscillations arise from band gaps or the finite band structure of spectral densities. The exact analytic solutions for various non-Markovian thermal environments show that non-Markovian dynamics can be largely understood from the environmental-modified spectra of open systems.
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“Recent experiments with photons allow one to drive the open system from Markovian to nonMarkovian regime in the dephasing channels [38, 39].”
From Classical-driving-assisted quantum speed-up (2015) · cites this paper as [38]
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Metadata
- Authors
- Zhang, W.-M., Lo, P.-Y., Xiong, H.-N., Tu, M. W.-Y., & Nori, F.
- Affiliations
- RIKEN (JP)
- National Cheng Kung University (TW)
- University of Michigan (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-10-26
- Volume
- 109
- Issue
- 17
- Pages
- 170402-170402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1998795769
- Cited by
- 349
- References
- 48
- Citations by year
- 2026: 21 · 2025: 28 · 2024: 22 · 2023: 18 · 2022: 33 · 2021: 25 · 2020: 30 · 2019: 29 · 2018: 32 · 2017: 18 · 2016: 19 · 2015: 33 · 2014: 23 · 2013: 18
- FWCI
- 12.23
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Japan Society for the Promotion of Science (22224007)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › 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 › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- non-Markovian dynamics, open quantum systems, noninteracting fermions, bosons, exact master equation, non-equilibrium Green's function, self-energy corrections, non-exponential decay, power spectrum, electronic band structure, analytical solution
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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