Universal Thermal Corrections to Single Interval Entanglement Entropy for Two Dimensional Conformal Field Theories

John Cardy, Christopher Herzog

Research output: Contribution to journalArticlepeer-review

54 Citations (Scopus)

Abstract

We consider single interval Rényi and entanglement entropies for a two dimensional conformal field theory on a circle at nonzero temperature. Assuming that the finite size of the system introduces a unique ground state with a nonzero mass gap, we calculate the leading corrections to the Rényi and entanglement entropy in a low temperature expansion. These corrections have a universal form for any two dimensional conformal field theory that depends only on the size of the mass gap and its degeneracy. We analyze the limits where the size of the interval becomes small and where it becomes close to the size of the spatial circle.
Original languageEnglish
Pages (from-to)1-5
JournalPhysical Review Letters
Volume112
Issue number17
Early online date30 Apr 2014
DOIs
Publication statusPublished - May 2014

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