Enhancement of pairwise entanglement from $\mathbbm{Z}_2$ symmetry breaking

Abstract

We study the effect of symmetry breaking in a quantum phase transition on pairwise entanglement in spin-1/2 models. We give a set of conditions on correlation functions a model has to meet in order to keep the pairwise entanglement unchanged by a parity symmetry breaking. It turns out that all mean-field solvable models do meet this requirement, whereas the presence of strong correlations leads to a violation of this condition. This results in an order-induced enhancement of entanglement, and we report on two examples where this takes place.

arXiv comment4 pages, 3 figures, revtex4. Slight modifications, few additional remarks

References in corpus (24)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• The density-matrix renormalization group
• Entanglement of a Pair of Quantum Bits
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Local entanglement and quantum phase transition in the Hubbard model
• Entanglement and quantum phase transition in the extended Hubbard model
• Fidelity and Concurrence of conjugated states
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Entanglement in a second order quantum phase transition
• Entanglement in XY Spin Chain
• Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
• Localizable Entanglement
• Studying quantum spin systems through entanglement estimators
• Scaling of Entanglement Entropy in the Random Singlet Phase
• On the entanglement entropy for a XY spin chain
• Entanglement and Spontaneous Symmetry Breaking in Quantum Spin Models
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
• Divergence of the entanglement range in low dimensional quantum systems
• Genuine Multipartite Entanglement in Quantum Phase Transitions
• The ground state entanglement in the $XXZ$ model
• Entanglement and Quantum Phases in the Anisotropic Ferromagnetic Heisenberg Chain in the Presence of Domain Walls
• Concurrence in the two dimensional XXZ- and transverse field Ising-models

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• Critical Point Estimation and Long-Range Behavior in the One-Dimensional XY Model Using Thermal Quantum and Total Correlations
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