When is an area law not an area law?

Abstract

Entanglement entropy is typically proportional to area, but sometimes it acquires an additional logarithmic pre-factor. We offer some intuitive explanations for these facts.

plainTeX, 12 pages, 3 figures. A more current version may be available at http://www.perimeterinstitute.ca/personal/rsorkin/some.papers/

References in corpus (5)

• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Universal corner entanglement from twist operators
• Multi-scale quantum simulation of quantum field theory using wavelets
• Zero Modes and Entanglement Entropy
• Area Law for Gapless States from Local Entanglement Thermodynamics

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• Zero Modes and Entanglement Entropy
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• Nodal Line Entanglement Entropy: Generalized Widom Formula from Entanglement Hamiltonians
• Insights on Entanglement Entropy in $1+1$ Dimensional Causal Sets
• Entanglement Entropy of Disjoint Spacetime Intervals in Causal Set Theory
• Entanglement Entropy and Causal Set Theory
• Euclidean Time Approach to Entanglement Entropy on Lattices and Fuzzy Spaces
• On the (Non)Hadamard Property of the SJ State in a $1+1$D Causal Diamond