Abstract
We study the set of equilibrium states for quantum lattice states in the presence of a translation symmetry of the model. We derive a characterization of the spontaneous breaking of this symmetry, i.e., the decomposition of an invariant equilibrium state into a mixture of noninvariant equilibrium states, in terms of the separability in mean energy of these states for a class of perturbed dynamics.
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Lima, R., Naudts, J. Spontaneous translation symmetry breakdown for quantum lattice systems. J Stat Phys 39, 157–165 (1985). https://doi.org/10.1007/BF01007977
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DOI: https://doi.org/10.1007/BF01007977