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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Superconducting qubit experiments reveal a non-ergodic glassy regime in a 2D disordered spin model, with power-law Hilbert-space dynamics, frozen degrees of freedom, and vanishing spin diffusion above a disorder threshold.
Conductance fluctuations in 2D Anderson-disordered tight-binding systems transition from non-ergodic to ergodic with rising disorder while multifractality persists, driven by long-range correlations in weak disorder and distributional effects in strong disorder.
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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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Hilbert space signatures of non-ergodic glassy dynamics
Superconducting qubit experiments reveal a non-ergodic glassy regime in a 2D disordered spin model, with power-law Hilbert-space dynamics, frozen degrees of freedom, and vanishing spin diffusion above a disorder threshold.
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Multifractal and Ergodic Properties of Conductance Fluctuations under Strong Disorder
Conductance fluctuations in 2D Anderson-disordered tight-binding systems transition from non-ergodic to ergodic with rising disorder while multifractality persists, driven by long-range correlations in weak disorder and distributional effects in strong disorder.