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arXiv · 1306.4367

Quantum Diffusion with Drift and the Einstein Relation II

Wojciech De Roeck·Juerg Froehlich·Kevin Schnelli
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Abstract

This paper is a companion to 'Quantum Diffusion with Drift and the Einstein Relation I' (jointly submitted to arXiv). Its purpose is to describe and prove a certain number of technical results used in 'Quantum Diffusion with Drift and the Einstein Relation 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, and, $(2)$ the construction of time-dependent correlation functions of particle observables.

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Wojciech De Roeck, Juerg Froehlich, Kevin Schnelli. 2013-06-18. Quantum Diffusion with Drift and the Einstein Relation II. https://doi.org/10.1063/1.4881533

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