Block Entanglement Entropy of Ground States with Long-Range Magnetic Order

Abstract

In this paper we calculate the block entanglement entropies of spin models whose ground states have perfect antiferromagnetic or ferromagnetic long-range order. In the latter case the definition of entanglement entropy is extended to properly take into account the ground state degeneracy. We find in both cases the entropy grows logarithmically with the block size. Implication of our results on states with general long-range order will be discussed.

arXiv comment9 pages, 5 figures

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• Entanglement Entropy and Mutual Information in Bose-Einstein Condensates
• Scaling of entanglement in $2+1$-dimensional scale-invariant field theories
• Kolmogorov complexity as intrinsic entropy of a pure state: Perspective from entanglement in free fermion systems
• Quantum simulation of long range $XY$ quantum spin glass with strong area-law violation using trapped ions
• Magnon-induced long-range correlations and their neutron-scattering signature in quantum magnets
• Entanglement Entropy in Many-Fermion System