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Statistics of off-diagonal entries of Wigner $K$-matrix for chaotic wave systems with absorption

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arxiv 1905.04157 v2 pith:NUQENLUQ submitted 2019-05-08 cond-mat.stat-mech math-phmath.MPnlin.CD

classification cond-mat.stat-mechmath-phmath.MPnlin.CD
keywords matrixabsorptionchaoticentriesoff-diagonalsystemswavewigner
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abstract

Using the Random Matrix Theory approach we derive explicit distributions of the real and imaginary parts for off-diagonal entries of the Wigner reaction matrix $\mathbf{K}$ for wave chaotic scattering in systems with and without time-reversal invariance, in the presence of an arbitrary uniform absorption.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Distribution of the Wigner-Smith time-delay matrix for chaotic cavities with absorption and coupled Coulomb gases

    math-ph 2019-09 conditional novelty 7.0 of 10

    The paper derives the exact distribution of the Wigner-Smith time-delay matrix for a chaotic cavity with arbitrary absorption and N channels, reducing large-N statistics to two coupled Coulomb gases.

  2. Reflection Time Difference as a probe of S-matrix Zeroes in Chaotic Resonance Scattering

    cond-mat.dis-nn 2019-08 conditional novelty 6.0 of 10

    The reflection time difference, the energy derivative of the phase difference between two reflection amplitudes, is a signed sum of Lorentzians centered at the S-matrix zeroes and can be read off from the unitary defi...

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