Hawking-Page transition on a spin chain
Quantum Physics
2024-07-09 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
The accessibility of the Hawking-Page transition in AdS 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.
Cite
@article{arxiv.2401.13963,
title = {Hawking-Page transition on a spin chain},
author = {David Pérez-García and Leonardo Santilli and Miguel Tierz},
journal= {arXiv preprint arXiv:2401.13963},
year = {2024}
}
Comments
5+13 pages, 2+3 figures. v2: minor improvements, references added, published version