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.
A (1+1)D SU(2) lattice gauge theory with dynamical matter exhibits ergodic, fragmented, and disorder-free many-body localized phases under non-Abelian gauge constraints, with the localized regime preserving spatial inhomogeneities via sector superpositions.
A holographic toy model is constructed for third-order photonic exceptional points in ternary microrings, with numerical spectra, phase rigidity, and connections to the theta-vacuum of QCD via topological structures and a second-order EP in a perturbed model.
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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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Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory
A (1+1)D SU(2) lattice gauge theory with dynamical matter exhibits ergodic, fragmented, and disorder-free many-body localized phases under non-Abelian gauge constraints, with the localized regime preserving spatial inhomogeneities via sector superpositions.
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Photonic Exceptional Points in Holography and QCD
A holographic toy model is constructed for third-order photonic exceptional points in ternary microrings, with numerical spectra, phase rigidity, and connections to the theta-vacuum of QCD via topological structures and a second-order EP in a perturbed model.