A Strategy for Proving the Strong Eigenstate Thermalization Hypothesis : Chaotic Systems and Holography

Autor:	Kawamoto, Taishi
Rok vydání:	2024
Předmět:	High Energy Physics - Theory Condensed Matter - Statistical Mechanics Quantum Physics
Druh dokumentu:	Working Paper
Popis:	The strong eigenstate thermalization hypothesis (ETH) provides a sufficient condition for thermalization and equilibration. Although it is expected to hold in a wide class of highly chaotic theories, there are only a few analytic examples demonstrating the strong ETH in special cases, often through methods related to integrability. In this paper, we explore sufficient conditions for the strong ETH that may apply to a broad range of chaotic theories. These conditions are expressed as inequalities involving the long-time averages of real-time thermal correlators. Specifically, as an illustration, we consider simple toy examples which satisfy these conditions under certain technical assumptions. This toy models have same properties as holographic theories at least in the perturbation in large $N$. We give a few comments for more realistic holographic models. Comment: 67 pages, 19 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.09746 Zobrazit plný text záznamu View this record from Arxiv