Approach to Thermal Equilibrium in the Caldeira-Leggett Model
Quantum Physics
2015-05-13 v1
Abstract
We provide an explicit analytical calculation that shows the asymptotic approach of the one dimensional Caldeira-Leggett model to thermal equilibrium in the high temperature and weak coupling limit. We investigate a free particle and a harmonic oscillator system, using both the Lindblad and the non-Lindblad type master equations for each case, and show that thermal equilibrium is reached exactly for the free particle and aproximately for the harmonic oscillator, irrespective of the initial preparation of the system. We also generalize our calculation to higher dimensions.
Keywords
Cite
@article{arxiv.0812.2520,
title = {Approach to Thermal Equilibrium in the Caldeira-Leggett Model},
author = {Fethi M Ramazanoglu},
journal= {arXiv preprint arXiv:0812.2520},
year = {2015}
}
Comments
26 pages, no figures