dorsal/arxiv
View SchemaNonequilibrium steady states on 1-d lattice systems and Goldstone theorem
| Authors | Takayuki Miyadera |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301143 |
| URL | https://arxiv.org/abs/quant-ph/0301143 |
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.
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"abstract": "On one-dimensional two-way infinite lattice system, a property of stationary\n(space-) translationally invariant states with nonvanishing current\nexpectations are investigated. We consider GNS representation with respect to\nsuch a state, on which we have a group of space-time translation unitary\noperators. We show, by applying Goldstone-theorem-like argument,that spectrum\nof the unitary operators, energy-momentum spectrum with respect to the state,\nhas a singularity at the origin.",
"arxiv_id": "quant-ph/0301143",
"authors": [
"Takayuki Miyadera"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"math-ph",
"math.MP"
],
"title": "Nonequilibrium steady states on 1-d lattice systems and Goldstone theorem",
"url": "https://arxiv.org/abs/quant-ph/0301143"
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