Hawking-Page transition on a spin chain

被引：0
作者：
Perez-Garcia, David [1 ]
Santilli, Leonardo [2 ]
Tierz, Miguel [1 ]
机构：
[1] Univ Complutense Madrid, Dept Anal Matematico & Matemat Aplicada, Madrid 28040, Spain
[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
来源：
PHYSICAL REVIEW RESEARCH | 2024年 / 6卷 / 03期
基金：
北京市自然科学基金;
关键词：
PHASE-TRANSITION; GAUGE-FIELDS; BLACK-HOLES; DYNAMICS; MODELS;
D O I：
10.1103/PhysRevResearch.6.033007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The accessibility of the Hawking-Page transition in AdS5 through a one-dimensional (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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页数：15
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