Stationary states of weak coupling limit type Markov generators and quantum transport models
Mathematical Physics
2019-09-09 v1 math.MP
Quantum Physics
Abstract
We prove that every stationary state in the annihilator of all Kraus operators of a weak coupling limit type Markov generator consists of two pieces, one of them supported on the interaction-free subspace and the second one on its orthogonal complement. In particular, we apply the previous result to describe in detail the structure of a slightly modified quantum transport model due to Arefeva, Kozyrev and Volovich (modified AKV's model) studied first in Ref.\cite{gggq}, in terms of generalized annihilation and creation operators.
Keywords
Cite
@article{arxiv.1909.02981,
title = {Stationary states of weak coupling limit type Markov generators and quantum transport models},
author = {Alvaro Hernandez-Cervantes and Roberto Quezada},
journal= {arXiv preprint arXiv:1909.02981},
year = {2019}
}