Non-Markovian dynamics of quantum systems. I. Formalism and transport coefficients.
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.
Kanokov
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Joint Institute for Nuclear Research, 141980 Dubna, Russia.
Palchikov
Yu V
YV
Adamian
G G
GG
Antonenko
N V
NV
Scheid
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W