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arXiv · 1209.6368

Tracing Through Scalar Entanglement

Christopher P. Herzog·Michael Spillane
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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.

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Christopher P. Herzog, Michael Spillane. 2013-01-07. Tracing Through Scalar Entanglement. https://doi.org/10.1103/physrevd.87.025012

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