Non-Markovian dynamics of quantum systems. I. Formalism and transport coefficients

Journal Article · Sat Jan 01 04:00:00 EST 2005 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.71.016121· OSTI ID:20641347

Kanokov, Z ^[1]; Palchikov, Yu V; Antonenko, N V ^[1]; Adamian, G G ^[1]; Scheid, W ^[2]

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1. Joint Institute for Nuclear Research, 141980 Dubna (Russian Federation)
2. Institut fuer Theoretische Physik der Justus-Liebig-Universitaet, D-35392 Giessen (Germany)

Generalized Langevin equations and fluctuation-dissipation relations are derived for the case of a nonlinear non-Markovian noise. The explicit expressions for the time-dependent friction and diffusion coefficients are presented for the case of general and linear couplings in the coordinate and momentum between the collective harmonic oscillator and heat bath. The long-time tails of correlation functions are investigated in the low- and high-temperature regimes of dissipation for different couplings. The Onsager's regression hypothesis is discussed for the non-Markovian dynamics. The Lindblad theory is justified on the basis of the microscopical model.

• OSTI ID: 20641347
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 1 Vol. 71; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COORDINATES
CORRELATION FUNCTIONS
DIFFUSION
FLUCTUATIONS
HARMONIC OSCILLATORS
LANGEVIN EQUATION
MARKOV PROCESS
NONLINEAR PROBLEMS
TIME DEPENDENCE
TRANSPORT THEORY