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 an open system from the Markovian to the non-Markovian regime in dephasing channels.
“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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Fisher information due to a phase noisy laser under non-Markovian environment
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General response formula and application to topological insulator in quantum open system
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Time-local master equation connecting the Born and Markov approximations
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Quantum Langevin equations for optomechanical systems
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Non-Markovian quantum Brownian motion in one dimension in electric fields
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Rate Operator Unraveling for Open Quantum System Dynamics
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Self-citationMomentum-resolved and correlation spectroscopy using quantum probes
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Threshold for nonthermal stabilization of open quantum systems
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Exact non-Markovian master equation for a driven damped two-level system
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Nonperturbative renormalization of quantum thermodynamics from weak to strong couplings
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Self-citationMaster equation and dispersive probing of a non-Markovian process
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Self-citationControllable dissipation of a qubit coupled to an engineering reservoir
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Self-citationDecoherence patterns of topological qubits from Majorana modes
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Dynamical heat engines with non-Markovian reservoirs
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Exact quantum dynamics in structured environments
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Master equation approach to transient quantum transport in nanostructures
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Self-citationQuantum theory of dissipative topological systems
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Self-citationGaussian entanglement induced by an extended thermal environment
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Self-citationSolution of the Master Equation for Quantum Brownian Motion Given by the Schrödinger Equation
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Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems
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- 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 › 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 › 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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