Hawking-Page transition on a spin chain
| Autor: | Pérez-García, David, Santilli, Leonardo, Tierz, Miguel |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Phys. Rev. Research 6, 033007 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevResearch.6.033007 |
| Popis: | 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. Comment: 5+13 pages, 2+3 figures. v2: minor improvements, references added, published version |
| Databáze: | arXiv |
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