English

Coherent perfect absorption with and without lasing in complex potentials

Quantum Physics 2015-06-19 v2

Abstract

We prove that coherent perfect absorption (CPA) without lasing is {\bf not} possible in the PT-symmetric domain as the s-matrix is such that detS(±k)=1|\det S(\pm k)|=1. We study coherent scattering from three complex potentials, one solved analytically and the other two numerically. We conjecture that in the domain of unbroken symmetry (when the potential has real discrete spectrum) neither spectral singularity nor CPA can occur. We show that Scarf II potential is a special model that can analytically and explicitly exhibit these as well as other novel phenomena and their subtleties. \pacs{03.65-w, 03.65.Nk, 11.30.Er, 42.25.Bs, 42.79.Gn

Keywords

Cite

@article{arxiv.1404.1679,
  title  = {Coherent perfect absorption with and without lasing in complex potentials},
  author = {Zafar Ahmed},
  journal= {arXiv preprint arXiv:1404.1679},
  year   = {2015}
}

Comments

12 pages, Six figures (3 parts in each). arXiv admin note: substantial text overlap with arXiv:1308.1270 (To appear in J. Phys. A: Theor. & Gen.)

R2 v1 2026-06-22T03:44:22.869Z