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

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

2011-01-19

arxiv.org/abs/1101.3654v2

Phys. Rev. A 83, 022327 (2011)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 7 figures, published version

Scientific paper

10.1103/PhysRevA.83.022327

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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