Entanglement and quantum phase transitions

Abstract

We examine several well known quantum spin models and categorize behavior of pairwise entanglement at quantum phase transitions. A unified picture on the connection between the entanglement and quantum phase transition is given.

4 pages, 3 figures

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Cited by in corpus (10)

• Fidelity approach to quantum phase transitions
• Quantum discord and quantum phase transition in spin chains
• Matrix Product State and Quantum Phase Transitions in the One-Dimensional Extended Quantum Compass Model
• Multi-partite entanglement and quantum phase transition in the one-, two-, and three-dimensional transverse field Ising model
• Global entanglement and quantum phase transitions in the transverse XY Heisenberg chain
• Entanglement and local extremes at an infinite-order quantum phase transition
• Quantum entanglement in the one-dimensional spin-orbital SU(2)$\otimes XXZ$ model
• The entanglement in one-dimensional random XY spin chain with Dzyaloshinskii-Moriya interaction
• Thermodynamic Limit in the Two-qubit Quantum Rabi Model with Spin-Spin Coupling
• Pairwise Entanglement and Geometric Phase in $d=2,3$-Dimensional Free-Fermion Lattice Systems