Higher-Form Symmetry and Eigenstate Thermalization Hypothesis / / by Osamu Fukushima
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| Autore: |
Fukushima Osamu
|
| Titolo: |
Higher-Form Symmetry and Eigenstate Thermalization Hypothesis / / by Osamu Fukushima
|
| Pubblicazione: | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 |
| Edizione: | 1st ed. 2025. |
| Descrizione fisica: | 1 online resource (XIV, 75 p. 14 illus., 13 illus. in color.) |
| Disciplina: | 530.12 |
| Soggetto topico: | Quantum theory |
| Statistical physics | |
| Particles (Nuclear physics) | |
| Quantum field theory | |
| Fundamental concepts and interpretations of QM | |
| Statistical Physics | |
| Elementary Particles, Quantum Field Theory | |
| Nota di contenuto: | -- 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. |
| Sommario/riassunto: | 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 $(d+1)$-dimensional quantum field theory can cause ETH breakdown for certain nontrivial $(d-p)$-dimensional observables. For discrete higher-form symmetries (i.e., $p\geq 1$), 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 $(2+1)$-dimensional $\mathbb{Z}_2$ 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 $\mathbb{Z}_2$ 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 $\mathbb{Z}_N$-symmetric theories, supported by numerical analyses of spin chains and lattice gauge theories. |
| Titolo autorizzato: | Higher-Form Symmetry and Eigenstate Thermalization Hypothesis |
| ISBN: | 9789819616435 |
| 9819616433 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910996495003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Springer Theses, Recognizing Outstanding Ph.D. Research, . 2190-5061