2012/09/30 by Christopher P. Herzog, Michael C. Spillane, Michael Spillane · 23 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Eigenvalues and eigenvectors #Entropy (arrow of time) #Mathematical physics #Mathematics #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Scalar field #Scaling #Squashed entanglement #Statistical physics #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.87.025012
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 87(2) (American Physical Society) · 17 pages, 11 figures; v2 ref added, typos fixed; v3 refs added, minor clarifications, version to appear in PRD
openalex publication_date 2013/01/04 · arxiv created 2013/01/07 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 e^\ensuremath-m/T scaling in the limit T\ensuremath≪m. We comment on the relation between our work and the Ryu-Takayanagi proposal for computing the entanglement entropy holographically.