Chaotic scattering with localized losses: S-matrix zeros and reflection time difference for systems with broken time-reversal invariance.,Physical Review E

当前位置： X-MOL 学术 › Phys. Rev. E › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Chaotic scattering with localized losses: S-matrix zeros and reflection time difference for systems with broken time-reversal invariance.
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-06 , DOI: 10.1103/physreve.102.012202
Mohammed Osman ₁ , Yan V Fyodorov _{1,

2}

Affiliation

Motivated by recent studies of the phenomenon of coherent perfect absorption, we develop the random matrix theory framework for understanding statistics of the zeros of the (subunitary) scattering matrices in the complex energy plane, as well as of the recently introduced reflection time difference (RTD). The latter plays the same role for

S

-matrix zeros as the Wigner time delay does for its poles. For systems with broken time-reversal invariance, we derive the

n

-point correlation functions of the zeros in a closed determinantal form, and we study various asymptotics and special cases of the associated kernel. The time-correlation function of the RTD is then evaluated and compared with numerical simulations. This allows us to identify a cubic tail in the distribution of RTD, which we conjecture to be a superuniversal characteristic valid for all symmetry classes. We also discuss two methods for possible extraction of