Higher-form symmetry and eigenstate thermalization hypothesis : doctoral thesis accepted by Kyoto University, Kyoto, Japan / Osamu Fukushima

Von:

Fukushima, Osamu [VerfasserIn]

Mitwirkende(r):

Kyōto Daigaku [Grad-verleihende Institution]

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Springer thesesVerlag: Singapore : Springer, [2025]Copyright-Datum: © 2025Beschreibung: 1 Online-Ressource (xiv, 75 p. 14 illus., 13 illus. in color.)ISBN:

9789819616435

Schlagwörter:

Genre/Form:

Hochschulschrift

Andere physische Formen: 9789819616428 | 9789819616442 | 9789819616459 DDC-Klassifikation:

530.12 23

DOI: DOI: 10.1007/978-981-96-1643-5Online-Ressourcen:

Zugang im Netz des KIT

Hochschulschriftenvermerk: Dissertation - Kyoto University Zusammenfassung: -- 1 Introduction. -- 2 Thermalization in isolated quantum systems. -- 3 Violation of the ETH in QFTs with higher-form symmetry. -- 4 Effects of projective phase on the ETH. -- 5 Conclusion and discussion. -- 6 Appendices.Zusammenfassung: The eigenstate thermalization hypothesis (ETH) provides a successful framework for understanding thermalization in isolated quantum systems. While extensive numerical and theoretical studies support ETH as a key mechanism for thermalization, determining whether specific systems satisfy ETH analytically remains a challenge. In quantum many-body systems and quantum field theories, ETH violations signal nontrivial thermalization processes and are gaining attention. This book explores how higher-form symmetries affect thermalization dynamics in isolated quantum systems. It analytically shows that a p-form symmetry in a USD(d+1)USD-dimensional quantum field theory can cause ETH breakdown for certain nontrivial USD(d-p)USD-dimensional observables. For discrete higher-form symmetries (i.e., USDp\geq 1USD), thermalization fails for observables that are non-local yet much smaller than the system size, despite the absence of local conserved quantities. Numerical evidence is provided for the USD(2+1)USD-dimensional USD\mathbb{Z}_2USD lattice gauge theory, where local observables thermalize, but non-local ones, such as those exciting a magnetic dipole, relax to a generalized Gibbs ensemble incorporating the USD\mathbb{Z}_2USD 1-form symmetry. The ETH violation mechanism here involves the mixing of symmetry sectors within an energy shell—a rather difficult condition to verify. To address this, the book introduces a projective phase framework for USD\mathbb{Z}_NUSD-symmetric theories, supported by numerical analyses of spin chains and lattice gauge theories.PPN: PPN: 1922928305Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-PHA | ZDB-2-SXP

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