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Hawking-Page transition on a spin chain
- Source :
- Phys. Rev. Research 6, 033007 (2024)
- Publication Year :
- 2024
-
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.<br />Comment: 5+13 pages, 2+3 figures. v2: minor improvements, references added, published version
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Research 6, 033007 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2401.13963
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevResearch.6.033007