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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Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
Magnetic fields tune the XXZ anisotropy parameter in alkaline-earth Rydberg pairs, allowing a folded XXZ model in ytterbium without fine-tuning and a mean-field supersolid on the square lattice.
Entanglement asymmetry for inhomogeneous U(1) charges in fragmented systems scales extensively, is bounded by a universal fraction of its maximum, and distinguishes classical from quantum fragmentation.
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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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Graph-theory measures capture weak ergodicity breaking on large quantum systems
Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
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Magnetic-field control of interactions in alkaline-earth Rydberg atoms and applications to {\it XXZ} models
Magnetic fields tune the XXZ anisotropy parameter in alkaline-earth Rydberg pairs, allowing a folded XXZ model in ytterbium without fine-tuning and a mean-field supersolid on the square lattice.
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Enhancing entanglement asymmetry in fragmented quantum systems
Entanglement asymmetry for inhomogeneous U(1) charges in fragmented systems scales extensively, is bounded by a universal fraction of its maximum, and distinguishes classical from quantum fragmentation.