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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Long-range non-Hermitian XX spin chains show enhanced time and size scaling of dynamical quantum Fisher information for parameter estimation compared to short-range and Hermitian cases, with identical scaling at criticality for ground-state probes.
Interacting BECs in tilted optical lattices show localization-delocalization transitions whose scaling can be harnessed for quantum critical sensing of gradients.
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Quantum-enhanced sensing from the interplay of long-range interactions and non-Hermiticity
Long-range non-Hermitian XX spin chains show enhanced time and size scaling of dynamical quantum Fisher information for parameter estimation compared to short-range and Hermitian cases, with identical scaling at criticality for ground-state probes.