Spectral graph analysis of the Hilbert-space connectivity graph detects exact fragmentation and nearly fragmented sectors with slow leakage in the t-J model and Hubbard chain.
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Nonnormality is an intrinsically dissipative property of Lindbladian generators that controls transient growth in open quantum dynamics and increases the cost of quantum simulations.
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.
Exact condensate-pair eigenstates are built for Fermi ladders under SU(2) symmetry via spectrum generating algebra and mapped to Bose ladders by operator replacement, revealing pair equivalence and a possible Hilbert-space fragmentation mechanism.
citing papers explorer
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Graph-Theoretic Detection of Hilbert Space Fragmentation
Spectral graph analysis of the Hilbert-space connectivity graph detects exact fragmentation and nearly fragmented sectors with slow leakage in the t-J model and Hubbard chain.
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Nonnormality and Dissipation in Markovian Quantum Dynamics: Implications for Quantum Simulation
Nonnormality is an intrinsically dissipative property of Lindbladian generators that controls transient growth in open quantum dynamics and increases the cost of quantum simulations.
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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.
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Condensate states in Fermi and Bose-Hubbard ladders
Exact condensate-pair eigenstates are built for Fermi ladders under SU(2) symmetry via spectrum generating algebra and mapped to Bose ladders by operator replacement, revealing pair equivalence and a possible Hilbert-space fragmentation mechanism.