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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 2, Pages 243–253
DOI: https://doi.org/10.4213/tmf6467 (Mi tmf6467) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Exponentially damped operators for a harmonic oscillator linearly coupled to a heat bath

I. O. Glebov, V. V. Eremin

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/tmf6467
Abstract: We consider the problem of the dissipative dynamics of a harmonic oscillator linearly coupled to a heat bath. We demonstrate that in addition to the mean energy, there exists an infinite series of quantities exponentially decreasing in time that are means of polynomials of the system Hamiltonian. We obtain the spectrum of the corresponding relaxation times. We propose a method for representing the time characteristics of the system in terms of operators corresponding to the exponentially damped observables. We obtain a recurrence relation for these operators.
Keywords: quantum theory of dissipation, Redfield theory, reduced density matrix, correlation function matrix, harmonic oscillator.
Received: 10.03.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 2, Pages 201–210
DOI: https://doi.org/10.1007/s11232-010-0015-5
Bibliographic databases:
Language: Russian
Citation: I. O. Glebov, V. V. Eremin, “Exponentially damped operators for a harmonic oscillator linearly coupled to a heat bath”, TMF, 162:2 (2010), 243–253; Theoret. and Math. Phys., 162:2 (2010), 201–210
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v162/i2/p243
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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