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

Autoren: Onirban Islam (2020)

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 $$\mathrm{ln}|\tanh(\pi d/2\beta)|$$ which signifies power law decay for asymptotic $$d$$ where the exponent depends on $$\beta < \infty$$.

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