Nonequilibrium steady states on 1-d lattice systems and Goldstone theorem
Miyadera, Takayuki
arXiv, 0301143 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-01-26
Classification:  Quantum Physics,  Condensed Matter - Statistical Mechanics,  Mathematical Physics 
@article{0301143,
     author = {Miyadera, Takayuki},
     title = {Nonequilibrium steady states on 1-d lattice systems and Goldstone
  theorem},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0301143}
}

Miyadera, Takayuki. Nonequilibrium steady states on 1-d lattice systems and Goldstone
  theorem. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0301143/