Reflection Time Difference as a Probe of S-Matrix Zeroes in Chaotic Resonance Scattering

Y. Fyodorov King's College London, Department of Mathematics, London WC2R 2LS, United Kingdom

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Motivated by recent interest in the zeroes of S-matrix entries in the complex energy plane, the Heidelberg model of resonance scattering is used to introduce the notion of reflection time difference. As is shown, it plays the same role for the zeroes as the Wigner time delay plays for the S-matrix poles.

DOI:10.12693/APhysPolA.136.785 topics: scattering matrix, chaotic wave scattering, S-matrix zeroes, coherent perfect absorption, anti-lasing, time delay difference, Random Matrix Theory