Fast spin control in a two-electron double quantum dot by dynamical invariants

TL;DR

This paper presents a method to rapidly and robustly control spin states in a two-electron double quantum dot using inverse engineering based on Lewis-Riesenfeld invariants, minimizing electric fields for efficient spin manipulation.

Contribution

It introduces a novel inverse engineering approach employing Lewis-Riesenfeld invariants for fast spin control in a two-electron quantum dot system.

Findings

Designed time-dependent electric fields for fast singlet-triplet transitions

Minimized electric field requirements for flexible spin control protocols

Achieved rapid spin manipulation within specified timescales

Abstract

Inverse engineering of electric fields has been recently proposed to achieve fast and robust spin control in a single-electron quantum dot with spin-orbit coupling. In this paper we design, by inverse engineering based on Lewis-Riesenfeld invariants, time-dependent electric fields to realize fast transitions in the selected singlet-triplet subspace of a two-electron double quantum dot. We apply two-mode driving schemes, directly employing the Lewis-Riesenfeld phases, to minimize the electric field necessary to design flexible protocols and perform spin manipulation on the chosen timescale.