Optimal shortcuts of Stimulated Raman Adiabatic Passage in the presence of dissipation

TL;DR

This paper develops optimal control strategies to enhance population transfer in a three-level STIRAP system, accounting for dissipation, by optimizing the mixing angle to minimize dissipation effects within a fixed process duration.

Contribution

It introduces a novel optimal control approach to design shortcuts to adiabaticity in dissipative three-level systems, focusing on the mixing angle as the control parameter.

Findings

Optimal variation of the mixing angle improves transfer efficiency.

Singular arcs play a crucial role in minimizing dissipation effects.

The method effectively enhances population transfer in the presence of dissipation.

Abstract

We use optimal control theory to obtain shortcuts to adiabaticity which maximize population transfer in a three-level STIRAP system, for a given finite duration of the process and specified dissipation rate at the intermediate state. We fix the sum of the intensities of the pump and Stokes pulses and use the mixing angle as the sole control variable. We determine the optimal variation of this angle and reveal the role of singular arc in the optimal trajectory, in order to minimize the effect of dissipation.