Diffusion of a massive quantum particle coupled to a quasi-free thermal medium

2009/06/28 by Wojciech De Roeck, W. De Roeck, De Roeck, W. +3
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0906.5178

v3 to v4, layout changes, to appear in CMP

openalex publication_date 2009/06/28 · arxiv created 2011/01/16 · arxiv updated 2011/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a heavy quantum particle with an internal degree of freedom moving on the d-dimensional lattice \bbZ^d (e.g., a heavy atom with finitely many excited states). The particle is coupled to a thermal medium (bath) consisting of free relativistic bosons through an interaction of strength \la linear in creation and annihilation operators. The mass of the quantum particle is assumed to be of order \la^-2, and we assume that the internal degree of freedom is coupled "effectively" to the thermal medium. We prove that the motion of the quantum particle is diffusive in d≥ 4 and for \la small enough.

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