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Robust Hilbert space fragmentation in group-valued loop models
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DOI：10.1103/PhysRevB.111.024310.png)
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摘要
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We introduce a large class of models exhibiting robust ergodicity breaking in quantum dynamics. Our work is inspired by recent discussions of topologically robust Hilbert space fragmentation but massively generalizes in two directions: First from states describable as loop-soups to a broader class of states reminiscent of string-nets and sponges and, second, from models restricted to square or cubic lattices to models defined on arbitrary lattices and graphs, including those without translation invariance. Our constructions leverage a recently proposed group-theory framework [Balasubramanian et al., Phys. Rev. X 14, 021034 (2024)] and identify a host of new phenomena arising from the interplay of group-model dynamics and lattice structure. We make crisp connections to gauge theories, and our construction generalizes Kitaev's quantum double to infinite groups.
Keyword:
MANY-BODY LOCALIZATION
QUANTUM
THERMALIZATION
期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
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