Related papers: Thermal density matrix breaks down the Page curve

Thermal density matrix breaks down the Page curve

URL: http://arxiv.org/abs/2206.04094v1
Date: Wed, 8 Jun 2022 18:01:05 GMT
Title: Thermal density matrix breaks down the Page curve
Authors: Dmitry S. Ageev and Irina Ya. Aref'eva
Abstract summary: We study entanglement islands and the Page curve in the eternal four-dimensional Schwarzschild black hole surrounded by finite temperature conformal matter. We obtain that at late times the island prescription leads to the exponential growth of the entanglement entropy of conformal matter in thermal vacuum.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In this paper, we study entanglement islands and the Page curve in the eternal four-dimensional Schwarzschild black hole surrounded by finite temperature conformal matter. By finite temperature conformal matter we mean the matter described by the thermal density matrix, rather than the usually considered matter above the Fock vacuum. We take the matter and the black hole at different temperatures and calculate the entanglement entropy for such a setup using the s-wave approximation. As a result, we obtain that at late times the island prescription leads to the exponential growth of the entanglement entropy of conformal matter in thermal vacuum.

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