# Edge states of a three dimensional kicked rotor

## TL;DR

This paper analytically and numerically investigates edge localization in a weakly kicked three-dimensional quantum rotor, revealing that edge states originate from the zero angular momentum boundary, using an analogy to solid state physics models.

## Contribution

It introduces an analytical framework for understanding edge states in a 3D kicked rotor and verifies the mechanism through numerical simulations, connecting quantum edge phenomena to solid state physics.

## Key findings

- Edge states result from the boundary at zero angular momentum.
- Analytical and numerical methods confirm the edge localization mechanism.
- The study links quantum edge phenomena to solid state physics models.

## 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.