Relative entanglement entropy of thermal states of Klein-Gordon and Dirac quantum field theories

• URL: http://arxiv.org/abs/2002.09985v1
• Date: Sun, 23 Feb 2020 21:10:02 GMT
• Title: Relative entanglement entropy of thermal states of Klein-Gordon and Dirac quantum field theories
• Authors: Onirban Islam
• Abstract summary: An upper bound of the relative entanglement entropy of thermal states at an inverse temperature $beta$ of linear, massive Klein-Gordon and Dirac quantum field theories has been computed.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: An upper bound of the relative entanglement entropy of thermal states at an inverse temperature $\beta$ of linear, massive Klein-Gordon and Dirac quantum field theories across two regions, separated by a nonzero distance $d$ in a Cauchy hypersurface of an ultrastatic (spin-)spacetime has been computed. This entanglement measure is bounded by a negative constant times $\ln | \tanh (\pi d/ 2 \beta) |$ which signifies power law decay for asymptotic $d$ where the exponent depends on $\beta < \infty$.

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