Tracing Through Scalar Entanglement
High Energy Physics - Theory
2013-05-30 v3
Abstract
As a toy model of a gapped system, we investigate the entanglement entropy of a massive scalar field in 1+1 dimensions at nonzero temperature. In a small mass m and temperature T limit, we put upper and lower bounds on the two largest eigenvalues of the covariance matrix used to compute the entanglement entropy. We argue that the entanglement entropy has exp(-m/T) scaling in the limit m >> T. We comment on the relation between our work and the Ryu-Takayanagi proposal for computing the entanglement entropy holographically.
Keywords
Cite
@article{arxiv.1209.6368,
title = {Tracing Through Scalar Entanglement},
author = {Christopher P. Herzog and Michael Spillane},
journal= {arXiv preprint arXiv:1209.6368},
year = {2013}
}
Comments
17 pages, 11 figures; v2 ref added, typos fixed; v3 refs added, minor clarifications, version to appear in PRD