A Krylov staggering parameter derived from Lanczos coefficients analytically distinguishes topological phases in the short-range Kitaev model and tracks boundary versus bulk control of the gap in long-range cases.
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Long-range light-mediated interactions induce singular dispersion bands in 1D and 2D subwavelength atom arrays that enable unsplit spreading of localized excitations, acting as a smoking-gun signature of singular band structure.
In fully connected models, integrability remains robust against non-extensive and extensive one-body perturbations but becomes extremely fragile under extensive two-body perturbations, which trigger chaos at infinitesimal strength within symmetry-defined energy bands and produce fragmented eigenstte
citing papers explorer
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Long-Range Pairing in the Kitaev Model: Krylov Subspace Signatures
A Krylov staggering parameter derived from Lanczos coefficients analytically distinguishes topological phases in the short-range Kitaev model and tracks boundary versus bulk control of the gap in long-range cases.
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Singular band Induced by Long-Range Interaction Enables Unsplit Spreading of Localized Excitations
Long-range light-mediated interactions induce singular dispersion bands in 1D and 2D subwavelength atom arrays that enable unsplit spreading of localized excitations, acting as a smoking-gun signature of singular band structure.
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Fragmented eigenstate thermalization versus robust integrability in long-range models
In fully connected models, integrability remains robust against non-extensive and extensive one-body perturbations but becomes extremely fragile under extensive two-body perturbations, which trigger chaos at infinitesimal strength within symmetry-defined energy bands and produce fragmented eigenstte