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.

4 pages, 3 figures, revtex4. Slight modifications, few additional remarks

References in corpus (6)

• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Entanglement in a second order quantum phase transition
• Localizable Entanglement
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Divergence of the entanglement range in low dimensional quantum systems

Cited by in corpus (11)

• Quantum magnonics: when magnon spintronics meets quantum information science
• Quantum coherence and uncertainty in the anisotropic XY chain
• Quantifying and controlling entanglement in the quantum magnet Cs${}_2$CoCl${}_4$
• Factorization and Criticality in the Anisotropic XY Chain via Correlations
• Two-spin entanglement distribution near factorized states
• Critical Point Estimation and Long-Range Behavior in the One-Dimensional XY Model Using Thermal Quantum and Total Correlations
• Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
• Genuine Multipartite Entanglement in the Cluster-Ising Model
• Interplay between quantum phase transitions and the behavior of quantum correlations at finite temperatures
• Geometrically induced singular behavior of entanglement
• Entanglement and symmetry effects in the transition to the Schroedinger cat regime