Quantum non-Markovian Langevin equations and transport coefficients
V. V. SargsyanJoint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, RussiaZ. KanokovJoint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, RussiaG. G. AdamianInstitute of Nuclear Physics, Uzbek Academy of Sciences, pos. Ulughbek, Tashkent, 702132, Republic of UzbekistanN. V. AntonenkoJoint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia
ABI
Abstract
Quantum diffusion equations featuring explicitly time-dependent transport coefficients are derived from generalized non-Markovian Langevin equations. Generalized fluctuation-dissipation relations and analytic expressions for calculating the friction and diffusion coefficients in nuclear processes are obtained. The asymptotic behavior of the transport coefficients and correlation functions for a damped harmonic oscillator that is linearly coupled in momentum to a heat bath is studied. The coupling to a heat bath in momentum is responsible for the appearance of the diffusion coefficient in coordinate. The problem of regression of correlations in quantum dissipative systems is analyzed.
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