On Energy-Momentum Spectrum of Stationary States with Nonvanishing Current on 1-d Lattice Systems (<Special Issue> The Proceedings of the Second Sendai Workshop on Quantum Probability and Quantum Information)

MIYADERA Takayuki

doi:10.48550/arxiv.quant-ph/0312017

On Energy-Momentum Spectrum of Stationary States with Nonvanishing Current on 1-d Lattice Systems (<Special Issue> The Proceedings of the Second Sendai Workshop on Quantum Probability and Quantum Information)

DOI DOI 機関リポジトリ機関リポジトリ (HANDLE) 参考文献7件オープンアクセス

MIYADERA Takayuki

Department of Information Sciences, Tokyo University of Science

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タイトル別名

On Energy-Momentum Spectrum of Stationary States with Nonvanishing Current on 1-d Lattice Systems

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説明

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.