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: [Figure not available: see fulltext.]
Bibliographical notePublisher Copyright:
© 2019, EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature.
- Statistical and Nonlinear Physics
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics