Geometric heterogeneity in small disordered spin networks with dipolar couplings and dephasing produces separated dynamical timescales, with a parametrically long relaxation time arising from effective detuning in strongly hybridized clusters.
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Uncorrelated hopping disorder in the generalized Aubry-André model enhances localization and turns the transition into a crossover, while spatially correlated disorder causes partial delocalization near strong bonds, as shown in momentum-space lattice experiments with 87Rb atoms.
A spatially matched wavefront shaping method enables direct far-field measurement of the minimum localization length in disordered 2D photonic lattices via the critical coupling effect, with length decreasing as air-hole diameter increases at fixed periodicity.
Stealthy disorder in the 1D Anderson model makes the localization length scale as a higher inverse power of disorder strength W, allowing it to exceed system size for sufficient stealthiness parameter χ.
In finite 2D disordered systems, Anderson localization at low energies coexists with quantum scarring at higher energies due to energy-dependent localization lengths and finite-size effects, producing observable signatures in intensity patterns and spectral statistics.
Large-scale full-wave simulations show non-exponential transmission decay, isolated resonances with Thouless conductance below 1, and non-propagating intensity clusters as evidence for 3D Anderson localization of light in disordered dielectric media.
citing papers explorer
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Quantum Transport in Disordered Spin Networks: Emergent Timescales and Competing Pathways
Geometric heterogeneity in small disordered spin networks with dipolar couplings and dephasing produces separated dynamical timescales, with a parametrically long relaxation time arising from effective detuning in strongly hybridized clusters.
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Localization with Hopping Disorder in Quasi-periodic Synthetic Momentum Lattice
Uncorrelated hopping disorder in the generalized Aubry-André model enhances localization and turns the transition into a crossover, while spatially correlated disorder causes partial delocalization near strong bonds, as shown in momentum-space lattice experiments with 87Rb atoms.
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Characterize localization length of disordered lattices via critical coupling effect
A spatially matched wavefront shaping method enables direct far-field measurement of the minimum localization length in disordered 2D photonic lattices via the critical coupling effect, with length decreasing as air-hole diameter increases at fixed periodicity.
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Effective delocalization in the one-dimensional Anderson model with stealthy disorder
Stealthy disorder in the 1D Anderson model makes the localization length scale as a higher inverse power of disorder strength W, allowing it to exceed system size for sufficient stealthiness parameter χ.
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Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions
In finite 2D disordered systems, Anderson localization at low energies coexists with quantum scarring at higher energies due to energy-dependent localization lengths and finite-size effects, producing observable signatures in intensity patterns and spectral statistics.
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3D Anderson localization of light in disordered systems of dielectric particles
Large-scale full-wave simulations show non-exponential transmission decay, isolated resonances with Thouless conductance below 1, and non-propagating intensity clusters as evidence for 3D Anderson localization of light in disordered dielectric media.