Non-Markovian expansion in quantum dissipative systems

Details Non-Markovian expansion in quantum dissipative systems Non-Markovian expansion in quantum dissipative systems

2009-10-22

arxiv.org/abs/0910.4369v1

Physics

Quantum Physics

14 pages, 2 figures

Scientific paper

We consider the non-Markovian Langevin evolution of a dissipative dynamical system in quantum mechanics in the path integral formalism. After discussing the role of the frequency cutoff for the interaction of the system with the heat bath and the kernel and noise correlator that follow from the most common choices, we derive an analytic expansion for the exact non-Markovian dissipation kernel and the corresponding colored noise in the general case that is consistent with the fluctuation-dissipation theorem and incorporates systematically non-local corrections. We illustrate the modifications to results obtained using the traditional (Markovian) Langevin approach in the case of the exponential kernel and analyze the case of the non-Markovian Brownian motion.

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