Geodesic
Quantum Non-Markovian Stochastic Equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 1, pp. 87-101

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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.
Keywords: open quantum systems, non-Markovian dynamics.
Mots-clés : friction and diffusion coefficients 
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     author = {G. G. Adamian and N. V. Antonenko and Z. Kanokov and V. V. Sargsyan},
     title = {Quantum {Non-Markovian} {Stochastic} {Equations}},
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G. G. Adamian; N. V. Antonenko; Z. Kanokov; V. V. Sargsyan. Quantum Non-Markovian Stochastic Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 1, pp. 87-101. http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a3/