Non-Markovian dynamics of quantum systems. I. Formalism and transport coefficients
Z. KanokovJoint Institute for Nuclear Research, 141980 Dubna, RussiaYu. V. PalchikovJoint Institute for Nuclear Research, 141980 Dubna, RussiaG. G. AdamianInstitute of Nuclear Physics, 702132 Tashkent, UzbekistanN. V. AntonenkoJoint Institute for Nuclear Research, 141980 Dubna, RussiaW. ScheidInstitut für Theoretische Physik der Justus-Liebig-Universität, D-35392 Giessen, Germany
ABI
Abstract
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.
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