Nonequilibrium steady states on 1-d lattice systems and Goldstone theorem

Takayuki Miyadera

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arXiv · quant-ph/0301143

Nonequilibrium steady states on 1-d lattice systems and Goldstone theorem

Takayuki Miyadera

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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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Takayuki Miyadera. 2003-01-26. Nonequilibrium steady states on 1-d lattice systems and Goldstone theorem. https://arxiv.org/abs/quant-ph/0301143

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