Quantum state-dependent diffusion and multiplicative noise: a microscopic approach

Details Quantum state-dependent diffusion and multiplicative noise: a microscopic approach Quantum state-dependent diffusion and multiplicative noise: a microscopic approach

2005-03-28

arxiv.org/abs/cond-mat/0503642v1

Journal of Statistical Physics, Vol.-120, Page-339, (2005)

Physics

Condensed Matter

Statistical Mechanics

To be published in Journal of Statistical Physics 28 pages, 3 figures

Scientific paper

10.1007/s10955-005-5251-y

The state-dependent diffusion, which concerns the Brownian motion of a particle in inhomogeneous media has been described phenomenologically in a number of ways. Based on a system-reservoir nonlinear coupling model we present a microscopic approach to quantum state-dependent diffusion and multiplicative noise in terms of a quantum Markovian Langevin description and an associated Fokker-Planck equation in position space in the overdamped limit. We examine the thermodynamic consistency and explore the possibility of observing a quantum current, a generic quantum effect, as a consequence of this state-dependent diffusion similar to one proposed by B\"{u}ttiker [Z. Phys. B {\bf 68}, 161 (1987)] in a classical context several years ago.

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