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.
Numerical simulations of intracavity triplet down conversion identify steady-state regimes with measurable squeezing and entanglement, validated against Monte Carlo wave-function methods for low populations.
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Algebraic States in Continuum in $ d\gt 1$ Dimensional Non-Hermitian Systems
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.