Noninteracting fermions with effective mass m_eff(x) ~ |x|^α form a determinantal point process whose large-N scaled kernel near the origin is a sum of two Bessel kernels with different indices rather than standard Airy or single-Bessel forms.
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Power-law kinetic grading in a 1D lattice drives a localization transition at alpha equals zero with diverging length, enabling critical enhancement of quantum Fisher information for parameter estimation.
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Sluggish quantum mechanics of noninteracting fermions with spatially varying effective mass
Noninteracting fermions with effective mass m_eff(x) ~ |x|^α form a determinantal point process whose large-N scaled kernel near the origin is a sum of two Bessel kernels with different indices rather than standard Airy or single-Bessel forms.
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Localization from Infinitesimal Kinetic Grading: Finite-size Scaling, Kibble-Zurek Dynamics and Applications in Sensing
Power-law kinetic grading in a 1D lattice drives a localization transition at alpha equals zero with diverging length, enabling critical enhancement of quantum Fisher information for parameter estimation.