Quantum Non-Markovian Stochastic Equations |
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| Authors: | G G Adamian N V Antonenko Z Kanokov V V Sargsyan |
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| Institution: | (1) Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia;(2) National University, Tashkent, Uzbekistan;(3) Institute for Nuclear Physics, Tashkent, Uzbekistan |
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| Abstract: | We derive quantum diffusion equations with transport coefficients explicitly depending on time from generalized non-Markovian
Langevin equations and obtain generalized fluctuation-dissipation relations. We substantiate the axiomatic Lindblad approach
in the microscopic model. For non-Markovian dynamics, we find sets of diffusion coefficients that ensure the purity of states
at any instant.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 145, No. 1, pp. 87–101, October, 2005. |
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| Keywords: | open quantum systems friction and diffusion coefficients non-Markovian dynamics |
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