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Title: Quantum diffusion with drift and the Einstein relation. II

This paper is a companion to Paper I [W. De Roeck, J. Fröhlich, and K. Schnelli, “Quantum diffusion with drift and the Einstein relation. I,” J. Math. Phys. 55, 075206 (2014)]. The purpose of this paper is to describe and prove a certain number of technical results used in Paper I, but not proven there. Both papers concern long-time properties (diffusion, drift) of the motion of a driven quantum particle coupled to an array of thermal reservoirs. The main technical results derived in the present paper are: (1) an asymptotic perturbation theory applicable for small driving force, and (2) the construction of time-dependent correlation functions of particle observables.
Authors:
 [1] ;  [2] ;  [3]
  1. Institute for Theoretical Physics, K.U. Leuven, 3001 Leuven (Belgium)
  2. Institute for Theoretical Physics, ETH Zürich, 8093 Zürich (Switzerland)
  3. Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138 (United States)
Publication Date:
OSTI Identifier:
22306195
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 7; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSONS; CORRELATION FUNCTIONS; DIFFUSION; PERTURBATION THEORY; QUANTUM MECHANICS; RESERVOIR TEMPERATURE; TIME DEPENDENCE