Rabi oscillations in the four-level double-dot structure under the influence of the resonant pulse

TL;DR

This paper provides a theoretical analysis of Rabi oscillations in a symmetric four-level double-dot system under resonant pulses, deriving detailed quantum dynamics and corrections relevant for solid-state qubit applications.

Contribution

It introduces a comprehensive theoretical framework for understanding Rabi oscillations in a four-level double-dot structure, including corrections beyond the rotating wave approximation.

Findings

Derived quantum dynamics of the four-level system

Calculated first-order correction to Rabi oscillations

Applied results to solid-state qubit design

Abstract

We study theoretically the quantum dynamics of an electron in the symmetric four-level double-dot structure under the influence of the monochromatic resonant pulse. The probability amplitudes of the eigenstates relevant for the quantum dynamics are found from the solution of the non-stationary Schr\"odinger equation. The first-order correction term to the solution obtained through the rotating wave approximation is calculated. The three-level double-dot dynamics and the two-level single-dot dynamics, as well as the off-resonant excitation process, are derived from the general formulae for corresponding choices of the pulse and structure parameters. The results obtained may be applied to the solid-state qubit design.