English

Invariant states of quantum birth and death chains

Mathematical Physics 2014-08-27 v1 math.MP Operator Algebras

Abstract

A sufficient condition is given for a class of quantum birth and death chains on the non-negative integers to possess invariant states. The result is applied to generalised one-atom masers and to the Jaynes-Cummings one-atom maser with random interaction time and not necessarily diagonal atomic states.

Keywords

Cite

@article{arxiv.1408.6162,
  title  = {Invariant states of quantum birth and death chains},
  author = {David Buecher},
  journal= {arXiv preprint arXiv:1408.6162},
  year   = {2014}
}

Comments

17 pages, 3 figures