Optimal control of population and coherence in three-level $\Lambda$ systems

TL;DR

This paper applies optimal control theory to enhance population transfer and coherence creation in three-level systems, identifying the half-STIRAP scheme as optimal and comparing various control methods.

Contribution

It demonstrates the optimality of the half-STIRAP scheme for coherence creation and compares different optimal control algorithms for population transfer.

Findings

Half-STIRAP is optimal for maximum coherence.

Conjugate gradient, Zhu-Rabitz, and Krotov methods analyzed.

Performance differences among control algorithms identified.

Abstract

Optimal control theory implementations for an efficient population transfer and creation of a maximum coherence in three-level system are considered. We demonstrate that the half-STIRAP (stimulated Raman adiabatic passage) scheme for creation of the maximum Raman coherence is the optimal solution according to the optimal control theory. We also present a comparative study of several implementations of optimal control theory applied to the complete population transfer and creation of the maximum coherence. Performance of the conjugate gradient method, the Zhu-Rabitz method and the Krotov method has been analyzed.