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Cited by 996Quantum Mechanics and ApplicationsAdvanced Thermodynamics and Statistical MechanicsQuantum chaos and dynamical systems

Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise

Hu, B. L., Paz, Juan Pablo, Zhang, Yuhong·1992·Physical Review D
DOI 10.1103/physrevd.45.2843
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Abstract

We use the influence functional path-integral method to derive an exact master equation for the quantum Brownian motion of a particle linearly coupled to a general environment (ohmic, subohmic, or supraohmic) at arbitrary temperature and apply it to study certain aspects of the loss of quantum coherence.

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Crossref · 10.1103/physrevd.45.2843

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54 of 54 references verified0 citation errors · 0 not checkable

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  • The matrices γ_{k,l}(ν) are positive semidefinite for every ν.

    “Note that the matrices γ k,ℓ (ν) are positive semidefinite for every ν; this is a consequence of Bochner's theorem [28]; that is, it is easy to check that the correlation functions Tr[ B † k (s)B ℓ ρ th ] are functions of positive type, and γ k,ℓ (ν) are just the Fourier transform of them.”

    From Markovian master equations: a critical study (2010) · cites this paper as [28]

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Related

Authors
Hu, B. L., Paz, J. P., & Zhang, Y.
Affiliations
University of Maryland, College Park (US)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1992-04-15
Volume
45
Issue
8
Pages
2843-2861
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.45.2843
OpenAlex
W2052199078
Cited by
996
References
54
Citations by year
2026: 31 · 2025: 36 · 2024: 31 · 2023: 27 · 2022: 43 · 2021: 24 · 2020: 57 · 2019: 32 · 2018: 35 · 2017: 29 · 2016: 33 · 2015: 30 · 2014: 36 · 2013: 27 · 2012: 38
FWCI
9.21
Type
journal article
Language
en
Open access
closed
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • PubMed (publishedVersion)
Funders
  • National Science Foundation
  • Consejo Nacional de Investigaciones Científicas y Técnicas
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 › Quantum chaos and dynamical systems
Keywords
quantum Brownian motion, exact master equation, influence functional, path integral, colored noise, Ohmic environment, open quantum systems

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