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arxiv: 1306.4367 · v1 · pith:L55JCD3Znew · submitted 2013-06-18 · 🧮 math-ph · cond-mat.stat-mech· math.MP

Quantum Diffusion with Drift and the Einstein Relation II

classification 🧮 math-ph cond-mat.stat-mechmath.MP
keywords diffusiondriftquantumeinsteinrelationparticleresultstechnical
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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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