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Entanglement entropy and conformal field theory

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      Abstract

      We review the conformal field theory approach to entanglement entropy. We show how to apply these methods to the calculation of the entanglement entropy of a single interval, and the generalization to different situations such as finite size, systems with boundaries, and the case of several disjoint intervals. We discuss the behaviour away from the critical point and the spectrum of the reduced density matrix. Quantum quenches, as paradigms of non-equilibrium situations, are also considered.

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      Journal
      25 May 2009
      2009-10-14
      0905.4013
      10.1088/1751-8113/42/50/504005

      http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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      J.Phys.A42:504005,2009
      39 Pages, 10 figures. Review article for the special issue "Entanglement entropy in extended systems" in J. Phys. A. V2 Refs added, typos corrected
      cond-mat.stat-mech cond-mat.str-el hep-th quant-ph

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