2013/08/06 by Zafar Ahmed, Ahmed, Zafar · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1308.1270
8 pages no Figure This paper is being withdrawn since we used an in-appropriate s-matrix for transparency for coherent injection. We will soon submit our investigation of transparency here and elsewhere
openalex publication_date 2013/08/06 · arxiv created 2014/09/25 · arxiv updated 2014/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is known that the perfect absorption of two identical waves incident on a complex potential from left and right can occur at a fixed real energy and that the time-reversed setting of this system would act as a laser at threshold at the same energy. Here, we argue and show that PT-symmetric potentials are exceptional in this regard which do not allow Coherent Perfect Absorption without lasing as the modulus of the determinant of the S-matrix, |det S|, becomes 1, for all positive energies. Next we show that in the parametric regimes where the PT-symmetry is unbroken, the eigenvalues, s_± of S, can become unitary (uni-modular) for all energies. Then the potential becomes coherent perfect emitter on both sides for any energy of coherent injection. We call this property Transparency.