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}
}
  • Y. Fyodorov, M. Osman
  • Published 8 May 2021
  • Physics
  • Journal of Physics A: Mathematical and Theoretical
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… 
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