vix.ing · top · new · best · stats · spec

Standard form of the scattering matrix for time reversal symmetric system

2013/10/14 by Yongjin Jiang, Jiang, Yongjin, Xiaoli Lu +3
Mathematics · Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Numerical methods in inverse problems #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.1310.3733

openalex publication_date 2013/10/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we present the standard form of the scattering matrix of mesocopic system with spin-orbital coupling which preserves time reversal symmetry. We found some analytical structure of the scattering matrix related to the sub-matrices between arbitrary two channels. In particular, we proved that in the two-terminal mono-channel scattering problem, the transmission matrix is proportional to a SU(2) matrix. We obtained these properties through direct and elementary way and found it in agreement with polar decomposition known before.

Related