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Quantum phase transitions in fully connected spin models: an entanglement perspective

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arxiv 1101.3654 v2 pith:RQQM4OJJ submitted 2011-01-19 cond-mat.stat-mech quant-ph

M. Filippone , S. Dusuel , J. Vidal This is my paper · ORCID
classification cond-mat.stat-mechquant-ph
keywords entanglementtransitionsconnectedfullymodelsanalyzecasecompute
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We consider a set of fully connected spins models that display first- or second-order transitions and for which we compute the ground-state entanglement in the thermodynamical limit. We analyze several entanglement measures (concurrence, R\'enyi entropy, and negativity), and show that, in general, discontinuous transitions lead to a jump of these quantities at the transition point. Interestingly, we also find examples where this is not the case.

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