Adiabatic Fidelity for Atom-Molecule Conversion in a Nonlinear Three-Level \Lambda-system

TL;DR

This paper studies the efficiency of atom-molecule conversion via STIRAP in a nonlinear three-level system, revealing that adiabatic fidelity approaches unity with a power law, and discusses optimization strategies for higher fidelity.

Contribution

It demonstrates the power-law approach of adiabatic fidelity in a nonlinear system and proposes methods to optimize parameters for improved atom-molecule conversion efficiency.

Findings

Adiabatic fidelity approaches unity following a power law.

The power exponent is less than linear adiabatic theorem prediction.

Optimizing external parameters enhances dark state fidelity.

Abstract

We investigate the dynamics of the population transfer for atom-molecule three-level $\Lambda$-system on stimulated Raman adiabatic passage(STIRAP). We find that the adiabatic fidelity for the coherent population trapping(CPT) state or dark state, as the function of the adiabatic parameter, approaches to unit in a power law. The power exponent however is much less than the prediction of linear adiabatic theorem. We further discuss how to achieve higher adiabatic fidelity for the dark state through optimizing the external parameters of STIRAP. Our discussions are helpful to gain higher atom-molecule conversion yield in practical experiments.