Two-dimensional quantum rings with oscillating spin-orbit interaction strength: A wave function picture

TL;DR

This paper analyzes the effects of oscillating spin-orbit interaction in a two-dimensional quantum ring, deriving wave functions and quasienergies using Floquet theory, and exploring the dynamics of initial states.

Contribution

It introduces a wave function approach to study time-dependent Rashba SOI in quantum rings, extending previous static models with Floquet analysis.

Findings

Floquet quasienergies depend on boundary conditions

Time-dependent SOI influences spinor wave functions

Initial state evolution is explicitly calculated

Abstract

We determine the relevant spinor valued wave functions for a two-dimensional quantum ring in the presence of Rashba-type spin-orbit interaction (SOI). The case of constant SOI strength is considered first, then we investigate the physical consequences of time-dependent (oscillating) SOI strength. Floquet's method is applied to find time-dependent eigenspinors, and it is shown that the Floquet quasienergies and thus their differences (the generalized Rabi frequencies) are determined by the radial boundary conditions. Time evolution of various initial states is calculated.