Dynamical poles from Green's function analytic continuation, rather than static bound states, control late-time dynamics in non-Hermitian impurity scattering.
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Algebraic states in continuum (AICs) with 1/|r| decay exist inside the bulk continuum of 2D non-Hermitian systems with one impurity, with an analytically derived threshold condition, and are absent in Hermitian or 1D non-Hermitian cases.
The authors propose a winding-control mechanism via conditional boundary conditions that maps PBC loop spectra to OBC counterparts guided by winding numbers together with BZ/GBZ reconstruction in non-Hermitian systems.
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Dynamical Poles in Non-Hermitian Impurity Scattering
Dynamical poles from Green's function analytic continuation, rather than static bound states, control late-time dynamics in non-Hermitian impurity scattering.