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On the equivalence of theKMS condition and the variational principle for quantum lattice systems

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Abstract

For quantum spin systems on a lattice of an arbitrary dimension, theKMS condition and the variational principle are shown to be equivalent at an arbitrary temperature for translationally invariant states.

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Authors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan

    Huzihiro Araki

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  1. Huzihiro Araki
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Communicated by G. Gallavotti

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Araki, H. On the equivalence of theKMS condition and the variational principle for quantum lattice systems. Commun.Math. Phys. 38, 1–10 (1974). https://doi.org/10.1007/BF01651545

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  • DOI: https://doi.org/10.1007/BF01651545

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