# Electric dipole spin resonance at shallow donors in quantum wires

## TL;DR

This paper provides a theoretical analysis of electric dipole spin resonance in shallow donors within quantum wires, highlighting the complex interplay between discrete and continuum states and nonlinear effects on spin manipulation.

## Contribution

It introduces a detailed theoretical model of EDSR at shallow donors in nanowires, emphasizing the role of continuum states and nonlinear dynamics in spin control.

## Key findings

- Nonlinear dependence of spin flip time on electric field amplitude.
- Significant coupling effects between discrete and continuum states.
- Implications for spin-based qubit manipulation in nanostructures.

## Abstract

Electric dipole spin resonance is studied theoretically at a shallow donor formed in a nanowire with spin-orbit coupling in a magnetic field. Such system may represent a donor-based qubit. The single discrete energy level of the donor is accompanied by the set of continuum states, which provide a non-trivial interplay for the picture of electric dipole spin resonance driven by an external monochromatic field. Strongly nonlinear dependencies of spin flip time as well as of the coordinate mean values on the electric field amplitude are observed, demonstrating the significance of coupling to the continuum for spin-based qubits manipulation in nanostructures.