Universality of quantum Brownian motion
统计力学
2015-06-25 v1
摘要
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-Legget 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.
引用
@article{arxiv.cond-mat/9811018,
title = {Universality of quantum Brownian motion},
author = {Eric Lutz and Hans A. Weidenmueller},
journal= {arXiv preprint arXiv:cond-mat/9811018},
year = {2015}
}
备注
24 pages