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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Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
Fidelity susceptibility versus disorder in the 3D Anderson model exhibits one peak that shifts to zero disorder in the thermodynamic limit and a second peak precisely at the Anderson localization critical point, with distinct scaling behaviors.
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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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One-Body Purity, Non-Gaussianity, and Entanglement in Interacting Integrable Models
Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
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Sensitivity to perturbations in the three-dimensional Anderson model
Fidelity susceptibility versus disorder in the 3D Anderson model exhibits one peak that shifts to zero disorder in the thermodynamic limit and a second peak precisely at the Anderson localization critical point, with distinct scaling behaviors.