In tunable 3D fractal lattices with spectral dimension ds from 2 to 3, the Anderson transition critical disorder increases from 0 to 16.6 and the critical exponent decreases inversely with ds.
Anderson
9 Pith papers cite this work. Polarity classification is still indexing.
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cond-mat.quant-gas 2 cond-mat.dis-nn 1 cond-mat.mes-hall 1 cond-mat.soft 1 cs.DC 1 cs.LG 1 hep-th 1 physics.hist-ph 1verdicts
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Experimental observation of coexisting extended, localized, and critical states in a quasiperiodic Floquet-modulated orbital optical lattice using ultracold atoms.
Introduces Distributed Level-Blocked MPK combining RACE cache blocking with MPI, reporting substantial speedups up to 4x on 832 cores for matrix power kernels across scientific sparse matrices.
Random Matrix Theory detects overfitting via growing Correlation Traps in weight spectra during the anti-grokking phase of neural network training.
A tunable microscopic model of network liquids with a liquid-liquid phase transition, analyzed via RFOT theory, predicts nanonucleation near the glass transition and links thermodynamic and kinetic anomalies when matched to water-like conditions.
Interactions and quasiperiodic driving in the Lieb-Liniger kicked-boson model generate synthetic dimensions that realize Anderson localization and its critical behavior in up to four effective dimensions.
Coupling a skin-localized non-Hermitian chain to a delocalized chain induces a pseudo mobility edge in complex energy that separates localized and extended states, with a quantized winding number characterizing transitions under mixed boundary conditions.
Enrico Fermi's legacy from his Varenna lectures has shaped milestones in laser spectroscopy, Bose-Einstein condensation, and quantum information science.
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
citing papers explorer
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Anderson Transition and Mobility Edges in a Family of 3D Fractal Lattices
In tunable 3D fractal lattices with spectral dimension ds from 2 to 3, the Anderson transition critical disorder increases from 0 to 16.6 and the critical exponent decreases inversely with ds.
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Observation of a tripartite quantum phase for coexisting extended, localized, and critical states
Experimental observation of coexisting extended, localized, and critical states in a quasiperiodic Floquet-modulated orbital optical lattice using ultracold atoms.
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Cache Blocking of Distributed-Memory Parallel Matrix Power Kernels
Introduces Distributed Level-Blocked MPK combining RACE cache blocking with MPI, reporting substantial speedups up to 4x on 832 cores for matrix power kernels across scientific sparse matrices.
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Detecting overfitting in Neural Networks during long-horizon grokking using Random Matrix Theory
Random Matrix Theory detects overfitting via growing Correlation Traps in weight spectra during the anti-grokking phase of neural network training.
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Polyamorphism in Glassy Network Materials
A tunable microscopic model of network liquids with a liquid-liquid phase transition, analyzed via RFOT theory, predicts nanonucleation near the glass transition and links thermodynamic and kinetic anomalies when matched to water-like conditions.
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Engineering Anderson Localization in Arbitrary Dimensions with Interacting Quasiperiodic Kicked Bosons
Interactions and quasiperiodic driving in the Lieb-Liniger kicked-boson model generate synthetic dimensions that realize Anderson localization and its critical behavior in up to four effective dimensions.
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Non-Hermitian pseudo mobility edge in a coupled chain system
Coupling a skin-localized non-Hermitian chain to a delocalized chain induces a pseudo mobility edge in complex energy that separates localized and extended states, with a quantized winding number characterizing transitions under mixed boundary conditions.
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The Legacy of Enrico Fermi to Varenna
Enrico Fermi's legacy from his Varenna lectures has shaped milestones in laser spectroscopy, Bose-Einstein condensation, and quantum information science.
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Krylov Complexity
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.