Concurrence in collective models

Abstract

We review the entanglement properties in collective models and their relationship with quantum phase transitions. Focusing on the concurrence which characterizes the two-spin entanglement, we show that for first-order transition, this quantity is singular but continuous at the transition point, contrary to the common belief. We also propose a conjecture for the concurrence of arbitrary symmetric states which connects it with a recently proposed criterion for bipartite entanglement.

8 pages, 2 figures, published version

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Cited by in corpus (13)

• Entanglement detection
• Spin squeezing and entanglement
• Collective spin systems in dispersive optical cavity QED: Quantum phase transitions and entanglement
• Exchange Symmetry and Multipartite Entanglement
• Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
• Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
• Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange
• Dissipation-driven quantum phase transitions in collective spin systems
• Geometric Phase and Quantum Phase Transition in the Lipkin-Meshkov-Glick model
• Quantum Phase Transition in Finite-Size Lipkin-Meshkov-Glick Model
• Entanglement signatures of the quantum phase transition induced by a magnetic impurity in a superconductor
• Thermal entanglement of spins in mean-field clusters
• Adiabatic Computation - A Toy Model