Higher-form Symmetry and Eigenstate Thermalization Hypothesis, Hardcover by F...

by Osamu Fukushima

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Higher-form Symmetry and Eigenstate Thermalization Hypothesis, Hardcover by Fukushima, Osamu, ISBN 9819616425, ISBN-13 9789819616428, Like New Used, Free shipping in the US The eigenstate thermalization hypothesis (ETH) is a successful framework providing criteria for thermalization in isolated quantum systems. Although numerical and theoretical analyses support the ETH as a fundamental mechanism for explaining thermalization in diverse systems, it remains a challenge to analytically identify whether particular systems satisfy the ETH. In quantum many-body systems and quantum field theories, phenomena that violate the ETH are expected to imply nontrivial thermalization processes, and are gathering increasing attention. This book elucidates how the existence of higher-form symmetries influences the dynamics of thermalization in isolated quantum systems. Under reasonable assumptions, it is analytically shown that a p-form symmetry in a (d+1)-dimensional quantum field theory leads to the breakdown of the ETH for many nontrivial (d-p)-dimensional observables. In the case of discrete higher-form (., p = 1) symmetry, this indicates the absence of thermalization for observables that are non-local but much smaller than the entire system size even though the system do have no local conserved quantities. The author provides numerical evidence for this argument for the (2+1)-dimensional Z2 lattice gauge theory. While local observables such as a plaquette operator thermalize even for mix

• Publisher: Springer
• Year: 2025
• Binding: Hardcover
• ISBN: 9789819616428
• Condition: Fine

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