Dynamical localization of a particle coupled to a two-level systems thermal reservoir
Mesoscale and Nanoscale Physics
2007-07-17 v1 Statistical Mechanics
Abstract
Using the functional-integral method, we investigate the effect of a two-level systems thermal reservoir on the single particle dynamics. We find that at low temperatures, within the sub-ohmic regime, the particle becomes {}``dynamically'' localized at long times due to an effective potential generated by the particle-reservoir interaction. This behavior is different from the one obtained for the usual bath of harmonic oscillators and is fundamentally related with the non-Markovian character of the dissipative process.
Keywords
Cite
@article{arxiv.0707.2213,
title = {Dynamical localization of a particle coupled to a two-level systems thermal reservoir},
author = {A. Villares Ferrer and C. Morais Smith},
journal= {arXiv preprint arXiv:0707.2213},
year = {2007}
}