Non-Markovian dynamics of quantum systems. II. Decay rate, capture, and pure states
Yu. V. PalchikovJoint Institute for Nuclear Research, 141980 Dubna, RussiaZ. KanokovJoint 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
On the basis of a master equation for the reduced density matrix of open quantum systems, we study the influence of time-dependent friction and diffusion coefficients on the decay rate from a potential well and the capture probability into a potential well. Taking into account the mixed diffusion coefficient Dqp, the quasistationary decay rates are compared with the analytically derived Kramers-type formulas for different temperatures and frictions. The diffusion coefficients supplying the purity of states are derived for a non-Markovian dynamics.
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