Generalized symmetries generate exponentially many Krylov sectors in quantum many-body systems, showing that Hilbert space fragmentation does not by itself imply ergodicity breaking.
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Quantum many-body scars in a kicked long-range Ising model produce time-translation symmetry breaking via π-paired Floquet doublets, yielding period-doubling oscillations that scale to last exponentially long in system size for selected initial states.
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Hilbert Space Fragmentation from Generalized Symmetries
Generalized symmetries generate exponentially many Krylov sectors in quantum many-body systems, showing that Hilbert space fragmentation does not by itself imply ergodicity breaking.
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Quantum many-body scars leading to time-translation symmetry breaking in kicked interacting spin models
Quantum many-body scars in a kicked long-range Ising model produce time-translation symmetry breaking via π-paired Floquet doublets, yielding period-doubling oscillations that scale to last exponentially long in system size for selected initial states.