Rank deficiency of local Hamiltonians in classically fragmented models generates entangled frozen states, splitting mobile sectors into quantum Krylov subspaces and frozen entangled parts, with weak and strong quantum fragmentation distinguished by the number and ergodicity of irreducible blocks.
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Quantum Hilbert Space Fragmentation and Entangled Frozen States
Rank deficiency of local Hamiltonians in classically fragmented models generates entangled frozen states, splitting mobile sectors into quantum Krylov subspaces and frozen entangled parts, with weak and strong quantum fragmentation distinguished by the number and ergodicity of irreducible blocks.