Causality in PT-symmetric systems carries a topological charge at exceptional points, causing a pole migration that produces a Lorentzian residual in Kramers-Kronig relations whose magnitude scales as |gamma - gamma_c|^(-1.08).
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Constructs a Yang-Baxter generator from biorthogonal eigenvectors satisfying Temperley-Lieb relations for pseudo-Hermitian impurities, yielding R-matrices and Bethe equations, with Gaudin matrix defectiveness diagnosing exceptional points.
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Topological Charge of Causality at a PT-Symmetric Exceptional Point
Causality in PT-symmetric systems carries a topological charge at exceptional points, causing a pole migration that produces a Lorentzian residual in Kramers-Kronig relations whose magnitude scales as |gamma - gamma_c|^(-1.08).
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Yang-Baxter Integrability and Exceptional-Point Structure in Pseudo-Hermitian Quantum Impurity Systems
Constructs a Yang-Baxter generator from biorthogonal eigenvectors satisfying Temperley-Lieb relations for pseudo-Hermitian impurities, yielding R-matrices and Bethe equations, with Gaudin matrix defectiveness diagnosing exceptional points.