Optical rotation of heavy hole spins by non-Abelian geometrical means

TL;DR

This paper proposes a non-Abelian geometric method to rotate heavy hole spins in quantum dots, enabling high-fidelity, arbitrary-angle rotations, fast initialization, and spin readout using nonadiabatic geometric phases.

Contribution

It introduces a novel non-Abelian geometric approach for spin control in quantum dots, leveraging nonadiabatic transitions and geometric phases.

Findings

High-fidelity arbitrary-angle spin rotations achieved.

Fast initialization and spin readout demonstrated.

Control via pump, Stokes, and driving fields proven effective.

Abstract

A non-Abelian geometric method is proposed for rotating of heavy hole spins in a singly positive charged quantum dot in Voigt geometry. The key ingredient is the delay-dependent non-Abelian geometric phase, which is produced by the nonadiabatic transition between the two degenerate dark states. We demonstrate, by controlling the pump, the Stokes and the driving fields, that the rotations about $y$- and $z$-axes with arbitrary angles can be realized with high fidelity. Fast initialization and heavy hole spin state readout are also possible.