Landau-Zener transitions in a semiconductor quantum dot

TL;DR

This paper investigates Landau-Zener transitions in a two-electron semiconductor quantum dot under a time-dependent electric field, evaluating the model's effectiveness in describing energy level transitions.

Contribution

It demonstrates the applicability of the Landau-Zener model in a realistic quantum dot system, especially in the adiabatic basis, highlighting its limitations in the diabatic basis.

Findings

Landau-Zener model accurately describes transitions in the adiabatic basis.

Model's robustness decreases in the diabatic basis.

Provides insights into quantum control in semiconductor quantum dots.

Abstract

We study the transitions between neighboring energy levels in a quasi-one-dimensional semiconductor quantum dot with two interacting electrons in it, when it is subject to a linearly time-dependent electric field. We analyze the applicability of simple two-level Landau-Zener model to describe the evolution of the probability amplitudes in this realistic system. We show that the Landau-Zener model works very well when it is viewed in the adibatic basis, but it is not as robust in the diabatic basis.