Spontaneous translation symmetry breakdown for quantum lattice systems |
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Authors: | R Lima J Naudts |
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Institution: | (1) Centre de Physique Théorique, C.N.R.S.-Luminy-Case 907, F-13288 Marseille Cedex 9, France;(2) Universiteit Antwerp, Antwerp, Belgium |
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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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Keywords: | Equilibrium states Choquet simplex invariant mean symmetry breakdown |
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