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