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

TY - JOUR

T1 - Universal Thermal Corrections to Single Interval Entanglement Entropy for Two Dimensional Conformal Field Theories

AU - Cardy, John

AU - Herzog, Christopher

PY - 2014/5

Y1 - 2014/5

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevLett.112.171603

DO - 10.1103/PhysRevLett.112.171603

M3 - Article

SN - 0031-9007

VL - 112

SP - 1

EP - 5

JO - Physical Review Letters

JF - Physical Review Letters

IS - 17

ER -