Related papers: Hawking-Page transition on a spin chain

Hawking-Page transition on a spin chain

URL: http://arxiv.org/abs/2401.13963v2
Date: Wed, 12 Jun 2024 08:43:34 GMT
Title: Hawking-Page transition on a spin chain
Authors: David Pérez-García, Leonardo Santilli, Miguel Tierz,
Abstract summary: The accessibility of the Hawking-Page transition in AdS$_5$ through a 1d Heisenberg spin chain is demonstrated. It is shown that the thermal Loschmidt echo, when averaged, detects the predicted increase in entropy across the Hawking-Page transition.
Score: 0.27309692684728604
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The accessibility of the Hawking-Page transition in AdS$_5$ through a 1d Heisenberg spin chain is demonstrated. We use the random matrix formulation of the Loschmidt echo for a set of spin chains, and randomize the ferromagnetic spin interaction. It is shown that the thermal Loschmidt echo, when averaged, detects the predicted increase in entropy across the Hawking-Page transition. This suggests that a 1d spin chain exhibits characteristics of black hole physics in 4+1 dimensions. We show that this approach is equally applicable to free fermion systems with a general dispersion relation.

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