Entanglement Entropy beyond the Free Case

Abstract

We present a perturbative method to compute the ground state entanglement entropy for interacting systems. We apply it to a collective model of mutually interacting spins in a magnetic field. At the quantum critical point, the entanglement entropy scales logarithmically with the subsystem size, the system size, and the anisotropy parameter. We determine the corresponding scaling prefactors and evaluate the leading finite-size correction to the entropy. Our analytical predictions are in perfect agreement with numerical results.

4 pages, 3 figures, published version

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• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Entanglement in a second order quantum phase transition
• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• General entanglement scaling laws from time evolution
• Entanglement scaling in critical two-dimensional fermionic and bosonic systems
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