Uniqueness regime for Markov dynamics on quantum lattice spin systems
Mathematical Physics
2015-10-19 v2 Statistical Mechanics
math.MP
Quantum Physics
Abstract
We consider a lattice of weakly interacting quantum Markov processes. Without interaction, the dynamics at each site is relaxing exponentially to a unique stationary state. With interaction, we show that there remains a unique stationary state in the thermodynamic limit, i.e. absence of phase coexistence, and the relaxation towards it is exponentially fast for local observables. We do not assume that the quantum Markov process is reversible (detailed balance) w.r.t. a local Hamiltonian.
Keywords
Cite
@article{arxiv.1506.00530,
title = {Uniqueness regime for Markov dynamics on quantum lattice spin systems},
author = {Nicholas Crawford and Wojciech De Roeck and Marius Schütz},
journal= {arXiv preprint arXiv:1506.00530},
year = {2015}
}
Comments
v1 -> v2: improved presentation, matches published version