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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 1, Pages 31–62
DOI: https://doi.org/10.4213/tmf6150
(Mi tmf6150)
 

This article is cited in 6 scientific papers (total in 6 papers)

Master equation of the reduced statistical operator of an atom in a plasma

C. Gocke, G. Röpke

Universität Rostock
Full-text PDF (614 kB) Citations (6)
References:
Abstract: We use the nonequilibrium Liouville equation to derive the master equation for the reduced statistical operator in a heat bath represented by a many-particle environment. Focusing on the case of a weak system–bath coupling, we consider the Born–Markov approximation of the master equation and compare the result to different approaches. The master equation is elaborated for the special case of an atom as a reduced system in a plasma background. We find that the dynamical structure factor determines the effect of the plasma on the reduced system. We consider the operator equation in the atomic eigenstate and in the phase-space representation, which yields two limiting cases: quantum mechanical behavior similar to the isolated atom for the lower strongly bound levels and a semiclassical one for highly excited Rydberg levels.
Keywords: nonequilibrium statistical operator, reduced statistical operator, quantum master equation, quantum Brownian motion, open quantum system, decoherence, Rydberg atom, ultracold plasma.
Received: 22.06.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 1, Pages 26–51
DOI: https://doi.org/10.1007/s11232-008-0004-0
Bibliographic databases:
Language: Russian
Citation: C. Gocke, G. Röpke, “Master equation of the reduced statistical operator of an atom in a plasma”, TMF, 154:1 (2008), 31–62; Theoret. and Math. Phys., 154:1 (2008), 26–51
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6150
  • https://doi.org/10.4213/tmf6150
  • https://www.mathnet.ru/eng/tmf/v154/i1/p31
  • This publication is cited in the following 6 articles:
    1. Gerd Röpke, Non-Equilibrium Particle Dynamics, 2019  crossref
    2. Gerd Röpke, “The Source Term of the Non-Equilibrium Statistical Operator”, Particles, 2:2 (2019), 309  crossref
    3. G. Röpke, “Electrical conductivity of charged particle systems and Zubarev's nonequilibrium statistical operator method”, Theoret. and Math. Phys., 194:1 (2018), 74–104  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. Lin Ch., Gocke Ch., Roepke G., Reinholz H., “Transition rates for a Rydberg atom surrounded by a plasma”, Phys. Rev. A, 93:4 (2016), 042711  crossref  isi  elib  scopus
    5. Nonequilibrium Statistical Physics, 2013, 371  crossref
    6. Vacchini B., Hornberger K., “Quantum linear Boltzmann equation”, Phys. Rep., 478:4-6 (2009), 71–120  crossref  mathscinet  adsnasa  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:537
    Full-text PDF :256
    References:78
    First page:4
     
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