In a dipole-conserving Bose-Hubbard chain, weak Hilbert-space fragmentation permits thermalization at weak interactions but yields nonergodicity at strong interactions, shown via analytical bounds on frozen states and exact diagonalization of entanglement, relaxation, and level statistics.
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Random matrix analysis of Z2-symmetric centrosymmetric ensembles shows thermalization of local observables to canonical averages occurs regardless of initial-state symmetry, while symmetry-violating observables have equilibrium values independent of initial symmetry.
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Weak Fragmentation and Thermalization in a Dipole-Conserving Bose-Hubbard Chain
In a dipole-conserving Bose-Hubbard chain, weak Hilbert-space fragmentation permits thermalization at weak interactions but yields nonergodicity at strong interactions, shown via analytical bounds on frozen states and exact diagonalization of entanglement, relaxation, and level statistics.
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Spectral statistics, non-equilibrium dynamics and thermalization in random matrices with global $\mathbb{Z}_2$-symmetry
Random matrix analysis of Z2-symmetric centrosymmetric ensembles shows thermalization of local observables to canonical averages occurs regardless of initial-state symmetry, while symmetry-violating observables have equilibrium values independent of initial symmetry.