Mixing properties of the one-atom maser
Mathematical Physics
2015-06-18 v1 math.MP
Spectral Theory
Abstract
We study the relaxation properties of the quantized electromagnetic field in a cavity under repeated interactions with single two-level atoms, so-called one-atom maser. We improve the ergodic results obtained in [BP] and prove that, whenever the atoms are initially distributed according to the canonical ensemble at temparature T>0, all the invariant states are mixing. Under some non-resonance condition this invariant state is known to be thermal equilibirum at some renormalized temperature T* and we prove that the mixing is then arbitrarily slow, in other words that there is no lower bound on the relaxation speed.
Keywords
Cite
@article{arxiv.1312.6521,
title = {Mixing properties of the one-atom maser},
author = {Laurent Bruneau},
journal= {arXiv preprint arXiv:1312.6521},
year = {2015}
}