Nonequilibrium steady states on 1-d lattice systems and Goldstone theorem
Quantum Physics
2016-09-08 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
On one-dimensional two-way infinite lattice system, a property of stationary (space-) translationally invariant states with nonvanishing current expectations are investigated. We consider GNS representation with respect to such a state, on which we have a group of space-time translation unitary operators. We show, by applying Goldstone-theorem-like argument,that spectrum of the unitary operators, energy-momentum spectrum with respect to the state, has a singularity at the origin.
Keywords
Cite
@article{arxiv.quant-ph/0301143,
title = {Nonequilibrium steady states on 1-d lattice systems and Goldstone theorem},
author = {Takayuki Miyadera},
journal= {arXiv preprint arXiv:quant-ph/0301143},
year = {2016}
}
Comments
15 pages