Entanglement Entropy beyond the Free Case

Details Entanglement Entropy beyond the Free Case Entanglement Entropy beyond the Free Case

2006-06-16

arxiv.org/abs/cond-mat/0606436v2

Phys.Rev.Lett.97:220402,2006

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, published version

Scientific paper

10.1103/PhysRevLett.97.220402

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.

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