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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Topology clusters states around the steady-state in stochastic systems but moves them away from zero-energy in quantum systems, while non-reciprocity does the reverse, and a unique topologically emerging state appears only in stochastic models.
PT symmetry enriches non-Hermitian critical points with topological nontriviality, robust edge modes, and a quantized imaginary subleading term in entanglement entropy scaling.
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.
citing papers explorer
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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.
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The unique control features of topological stochastic and quantum systems
Topology clusters states around the steady-state in stochastic systems but moves them away from zero-energy in quantum systems, while non-reciprocity does the reverse, and a unique topologically emerging state appears only in stochastic models.
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PT symmetry-enriched non-unitary criticality
PT symmetry enriches non-Hermitian critical points with topological nontriviality, robust edge modes, and a quantized imaginary subleading term in entanglement entropy scaling.
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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.