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On energy-momentum spectrum of stationary states with nonvanishing current on 1-d lattice systems

Takayuki Miyadera
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Abstract

On one-dimensional two-way infinite quantum lattice system, a property of translationally invariant stationary states with nonvanishing current expectation is 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 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. 2003-12-02. On energy-momentum spectrum of stationary states with nonvanishing current on 1-d lattice systems. https://arxiv.org/abs/quant-ph/0312017

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