paper

Edge states of a three dimensional kicked rotor

arXiv:1904.00933 · doi:10.1140/epjb/e2019-100174-8

Abstract

Edge localization is a fascinating quantum phenomenon. In this paper, the underlying mechanism generating it is presented analytically and verified numerically for a weakly kicked three-dimensional rotor. Analogy to tight binding model in solid state physics is used. The edge states result of the edge at zero angular momentum of the three-dimensional kicked rotor.

16 pages, 3 figures