Memory effects in long-time Lindblad motion
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Publication:4465813
DOI10.1088/0305-4470/36/3/101zbMATH Open1066.82029arXivmath-ph/0212027OpenAlexW2077090339MaRDI QIDQ4465813
Publication date: 9 June 2004
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Abstract: It is shown that the Lindblad equation accounts for memory effects. That is to say, Lindblad operators can be constructed in a natural manner such that a memory term appears in the asymptotic (infinite time) region; at the same time the expectation values depend on the initial state. Furthermore a procedure to extend the Lindblad equation to an equation of motion for an ideal Bose 'gas' of 'particles', i.e.systems with non-trivial internal structure, is described. Initially in some quantum state, this collection of 'particles' will asymptotically turn into an equilibrium ensemble whose probability distribution is determined by the Lindblad operators building the dissipative part of the equation of motion.
Full work available at URL: https://arxiv.org/abs/math-ph/0212027
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