Tracing Through Scalar Entanglement
arXiv:1209.6368 · doi:10.1103/PhysRevD.87.025012
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.
17 pages, 11 figures; v2 ref added, typos fixed; v3 refs added, minor clarifications, version to appear in PRD
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- Renyi entropies of free bosons on the torus and holography
- Universal Thermal Corrections to Entanglement Entropy for Conformal Field Theories on Spheres
- Entanglement Entropy in 2D Non-abelian Pure Gauge Theory
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- Entanglement entropy after selective measurements in quantum chains
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- Thermal Corrections to Renyi Entropies for Conformal Field Theories
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- Rényi entropy and subsystem distances in finite size and thermal states in critical XY chains
- An Inverse Mass Expansion for the Mutual Information in Free Scalar QFT at Finite Temperature
- Area Law Behaviour of Mutual Information at Finite Temperature
- Thermal Correction to Entanglement Spectrum for Conformal Field Theories