Universality of quantum Brownian motion

Eric Lutz and Hans A. Weidenmüller

Physica A: Statistical Mechanics and its Applications, 1999, vol. 267, issue 3, 354-374

Abstract: Are Markovian master equations for quantum Brownian motion independent of model assumptions used in the derivation and, thus, universal? With the aim of answering this question, we use a random band-matrix model for the system-bath interaction to derive Markovian master equations for the time evolution of one-dimensional quantum systems weakly coupled to a heat bath. We study in detail two simple systems, the harmonic oscillator and the two-level system. Our results are in complete agreement with those of earlier models, like the Caldeira–Leggett model and, in the large-band limit, with the Agarwal equations (both with and without rotating-wave approximation). This proves the universality of these master equations.

Keywords: Quantum Brownian motion; Random-matrix theory; Universality (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:267:y:1999:i:3:p:354-374

DOI: 10.1016/S0378-4371(99)00022-9

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