Edge states of a three dimensional kicked rotor

Alexandra Bakman (), Hagar Veksler and Shmuel Fishman
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Alexandra Bakman: Technion – Israel Institute of Technology, Technion City
Hagar Veksler: Technion – Israel Institute of Technology, Technion City
Shmuel Fishman: Technion – Israel Institute of Technology, Technion City

The European Physical Journal B: Condensed Matter and Complex Systems, 2019, vol. 92, issue 10, 1-7

Abstract: 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. We expand the eigenstates of the one-kick propagator of the kicked rotor in the basis of the free rotor eigenstates, which are defined by the quantum number of angular momentum. Since this quantum number must be non-negative, there is an edge near zero angular momentum, and an edge state is created. Analogy to tight binding model in solid state physics is used. Graphical abstract

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1140/epjb/e2019-100174-8

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