{
  "id": "cond-mat/0503642",
  "version": "v1",
  "published": "2005-03-28T06:21:04.000Z",
  "updated": "2005-03-28T06:21:04.000Z",
  "title": "Quantum state-dependent diffusion and multiplicative noise: a microscopic approach",
  "authors": [
    "Debashis Barik",
    "Deb Shankar Ray"
  ],
  "comment": "To be published in Journal of Statistical Physics 28 pages, 3 figures",
  "journal": "Journal of Statistical Physics, Vol.-120, Page-339, (2005)",
  "doi": "10.1007/s10955-005-5251-y",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-28T06:21:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum state-dependent diffusion",
      "microscopic approach",
      "multiplicative noise",
      "quantum markovian langevin description",
      "state-dependent diffusion similar"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}