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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BCS wavefunctions are constructed as many-body scars in fermionic models whose scar-subspace dynamics coincide with the BCS mean-field Hamiltonian, protecting them from thermalization.
Fock space cages from destructive interference in kinetically constrained models yield localized many-body eigenstates and non-ergodic dynamics by treating Fock space as a graph of bitstring states.
A survey of quantum hardware platforms and methods for simulating condensed matter physics, covering ground states, topology, non-equilibrium dynamics, and the role of noisy devices as prototypes for fault-tolerant simulation.
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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.