# Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities

@article{Fyodorov2022EigenfunctionNF, title={Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities}, author={Yan V. Fyodorov and Mohammed Osman}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2022}, volume={55} }

Motivated by the phenomenon of coherent perfect absorption, we study the shape of the deepest dips in the frequency-dependent single-channel reflection of waves from a cavity with spatially uniform losses. We show that it is largely determined by non-orthogonality factors O nn of the eigenmodes associated with the non-selfadjoint effective Hamiltonian. For cavities supporting chaotic ray dynamics we then use random matrix theory to derive, fully non-perturbatively, the explicit distribution of…

## 3 Citations

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We study the statistical properties of the complex generalization of Wigner time delay τ_{W} for subunitary wave-chaotic scattering systems. We first demonstrate theoretically that the mean value of…

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We study the distribution of complex eigenvalues z1, . . . , zN of random Hermitian N ×N block band matrices with a complex deformation of a finite rank. Assuming that the width of the bandW grows…

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A number of random matrix ensembles permitting exact determination of their eigenvalue and eigenvector statistics maintain this property under a rank 1 perturbation. Considered in this review are the…

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