Anderson localisation on spatially structured random graphs shows a transition shifting to stronger disorder with increasing hopping range, vanishing beyond a critical range with direct delocalised-localised transition and Kosterlitz-Thouless-like scaling, without an intervening multifractal phase.
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Charge transport capacity grows with system size in numerically accessible interacting Anderson chains because many-body resonances become more probable, indicating that short-ranged resonances have not yet converged and may contribute to apparent thermalization.
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.
The volume-law coefficient of eigenstate entanglement entropy in Bose-Hubbard models remains unchanged by on-site disorder, while the O(1) contribution depends on particle density and bosonic cutoff in conserving cases and may become universal without conservation.
citing papers explorer
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Anderson localisation in spatially structured random graphs
Anderson localisation on spatially structured random graphs shows a transition shifting to stronger disorder with increasing hopping range, vanishing beyond a critical range with direct delocalised-localised transition and Kosterlitz-Thouless-like scaling, without an intervening multifractal phase.
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Charge Transport Capacity as a Probe of Resonances in Models of Many-Body Localization
Charge transport capacity grows with system size in numerically accessible interacting Anderson chains because many-body resonances become more probable, indicating that short-ranged resonances have not yet converged and may contribute to apparent thermalization.
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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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Eigenstate entanglement entropy in Bose-Hubbard models
The volume-law coefficient of eigenstate entanglement entropy in Bose-Hubbard models remains unchanged by on-site disorder, while the O(1) contribution depends on particle density and bosonic cutoff in conserving cases and may become universal without conservation.