Spin-orbital phase synchronization in the magnetic field-driven electron dynamics in a double quantum dot

TL;DR

This paper investigates how external magnetic fields can synchronize the orbital and spin dynamics of an electron in a double quantum dot, providing analytical models and experimental proposals for controlling quantum states.

Contribution

It introduces an effective Hamiltonian model capturing spin-orbit coupling effects and derives conditions for phase synchronization in electron dynamics.

Findings

Derived an analytical expression for the Arnold tongue.

Proposed an experimental scheme for spin-orbital synchronization.

Demonstrated the feasibility of controlling electron states via magnetic fields.

Abstract

We study the dynamics of an electron confined in a one-dimensional double quantum dot in the presence of driving external magnetic fields. The orbital motion of the electron is coupled to the spin dynamics by spin orbit interaction of the Dresselhaus type. We derive an effective time-dependent Hamiltonian model for the orbital motion of the electron and obtain a synchronization condition between the orbital and the spin dynamics. From this model we deduce an analytical expression for the Arnold tongue and propose an experimental scheme for realizing the synchronization of the orbital and spin dynamics.