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

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.022327· OSTI ID:21537143

Filippone, Michele ^[1]; Dusuel, Sebastien ^[2]; Vidal, Julien ^[3]

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1. Laboratoire Pierre Aigrain, CNRS UMR 8551, Ecole Normale Superieure, 24 rue Lhomond, FR-75231 Paris Cedex 05 (France)
2. Lycee Saint-Louis, 44 Boulevard Saint-Michel, FR-75006 Paris (France)
3. Laboratoire de Physique Theorique de la Matiere Condensee, CNRS UMR 7600, Universite Pierre et Marie Curie (France)

We consider a set of fully connected spin 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, Renyi 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.

• OSTI ID: 21537143
• Journal Information: Physical Review. A, Vol. 83, Issue 2; Other Information: DOI: 10.1103/PhysRevA.83.022327; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ENTROPY
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
SPIN
ANGULAR MOMENTUM
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES