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This primer provides a foundational overview of the Eigenstate Thermalization Hypothesis (ETH), explaining how isolated quantum systems reach thermal equilibrium after being disturbed by global quenchs. It bridges concepts between high-energy physics and condensed matter, offering essential context for researchers studying non-equilibrium dynamics in quantum mechanics without relying on external heat baths.
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Eigenstate Thermalization Hypothesis: A Primer

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arXiv:2501.07243v3 Announce Type: replace-cross 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.

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.

arXiv:2501.07243 [hep-th]

(or arXiv:2501.07243v3 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2501.07243 Focus to learn more arXiv-issued DOI via DataCite

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