Universal thermal corrections to single interval entanglement entropy for two dimensional conformal field theories.
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.
Oxford University, Rudolf Peierls Centre for Theoretical Physics 1 Keble Road, Oxford OX1 3NP, United Kingdom and All Souls College, Oxford OX1 4AL, United Kingdom.
John
J
Cardy
C. N. Yang Institute for Theoretical Physics, Department of Physics and Astronomy Stony Brook University, Stony Brook, New York 11794, USA.
Christopher P
CP
Herzog