Eigenstate Thermalization Hypothesis: A Primer
arXiv:2501.07243
Abstract
How does an isolated quantum system evolve toward thermal equilibrium from a far-from-equilibrium initial state-for instance, one prepared by a global quantum quench? This question has attracted significant interest in recent years. The Eigenstate Thermalization Hypothesis (ETH) provides a compelling framework for addressing it, with far-reaching implications from high-energy physics to condensed matter. This primer offers a pedagogical introduction to quantum equilibrium and ETH for a broad physics audience, particularly high-energy physicists seeking a comprehensive understanding of these topics. We assume only basic knowledge of quantum mechanics and statistical mechanics.
Based on the review talk presented at the "Workshop on Dynamics and Scrambling of Quantum Information", December 2024, IPM; v2:minor corrections, presentation improved, numerical computations improved and extended, open directions added, refs added