Spontaneous translation symmetry breakdown for quantum lattice systems (Q1093861)

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scientific article; zbMATH DE number 4024056
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Spontaneous translation symmetry breakdown for quantum lattice systems
scientific article; zbMATH DE number 4024056

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    Spontaneous translation symmetry breakdown for quantum lattice systems (English)
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    1985
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    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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    Choquet simplex
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    invariant mean
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    symmetry breakdown
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    equilibrium states for quantum lattice states
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    translation symmetry
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    decomposition of an invariant equilibrium state into a mixture of noninvariant equilibrium states
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    separability in mean energy
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