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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External electric fields in 3D U(1) quantum dimer models with staggered matter induce geometric fragmentation, weak fragmentation, and fractonic excitations in large winding sectors, producing anomalous thermalization.
An emergent gauge symmetry valid only in a subset of sectors of the fragmented S=1 dipole-conserving spin chain enables exact quantum simulation of gauge theories using a non-gauge-invariant Hamiltonian.
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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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Geometric fragmentation and anomalous thermalization in cubic dimer model
External electric fields in 3D U(1) quantum dimer models with staggered matter induce geometric fragmentation, weak fragmentation, and fractonic excitations in large winding sectors, producing anomalous thermalization.
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Hilbert Space Fragmentation and Gauge Symmetry
An emergent gauge symmetry valid only in a subset of sectors of the fragmented S=1 dipole-conserving spin chain enables exact quantum simulation of gauge theories using a non-gauge-invariant Hamiltonian.