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Cited by 224Quantum Mechanics and ApplicationsAdvanced Thermodynamics and Statistical Mechanicsstochastic dynamics and bifurcation

The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.

Quantum and classical Fokker-Planck equations for a Gaussian-Markovian noise bath

Tanimura, Yoshitaka, Wolynes, Peter G.·1991·Physical Review A
DOI 10.1103/physreva.43.4131
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Abstract

The quantum Fokker-Planck equation for a Gaussian-Markovian bath is deduced by applying a method proposed by Tanimura and Kubo [J. Phys. Soc. Jpn. 58, 101 (1989)]. The results are expressed in the form of simultaneous differential equations in terms of density operators and can treat strong system-bath interactions where the correlated effects of the noise play an important role. The classical Fokker-Planck equation for a Gaussian-Markovian noise is obtained by performing the Wigner transformation, and its equilibrium state is shown to be the Maxwell-Boltzmann distribution. The method is convenient for numerical studies. Calculations for quantum-system harmonic oscillators and the double-well potential problems are demonstrated for cases of Gaussian-white noise and Gaussian-Markovian noise.

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Crossref · 10.1103/physreva.43.4131

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25 of 25 references verified0 citation errors · 0 not checkable

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Citations

Cites

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Research works printed but not linked: 2

  1. R. Kubo, 1985, Statistical Physics
  2. P. G. Wolynes, 1989, Complex Systems, SFI Studies in the Sciences of Complexity

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Metadata

Authors
Tanimura, Y., & Wolynes, P. G.
Affiliations
University of Illinois Urbana-Champaign (US)
ORCID
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
1991-04-01
Volume
43
Issue
8
Pages
4131-4142
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.43.4131
OpenAlex
W1976387111
Cited by
224
References
25
Citations by year
2026: 6 · 2025: 8 · 2024: 8 · 2023: 7 · 2022: 5 · 2021: 10 · 2020: 9 · 2019: 12 · 2018: 9 · 2017: 5 · 2016: 13 · 2015: 9 · 2014: 9 · 2013: 10 · 2012: 5
FWCI
1.83
Type
journal article
Language
en
Open access
closed
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • PubMed (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › stochastic dynamics and bifurcation
Keywords
quantum Fokker-Planck equation, system-bath interaction, Wigner transformation, density matrix, correlated noise, Maxwell-Boltzmann distribution, harmonic oscillator, double-well potential, Gaussian white noise, open quantum systems

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