Approach to Thermal Equilibrium in the Caldeira-Leggett Model

Details Approach to Thermal Equilibrium in the Caldeira-Leggett Model Approach to Thermal Equilibrium in the Caldeira-Leggett Model

2008-12-13

arxiv.org/abs/0812.2520v1

Physics

Quantum Physics

26 pages, no figures

Scientific paper

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.

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