# Three-dimensional modeling magneto-optical trapping of MgF molecule with multilevel rate equations

## TL;DR

This paper presents a theoretical analysis of magneto-optical trapping of MgF molecules using 3D rate equations, considering complex internal structures and optimizing multi-frequency configurations for effective trapping.

## Contribution

It introduces a comprehensive 3D rate equation model for MgF MOTs, including detailed internal level structures and optimized multi-frequency configurations for improved trapping feasibility.

## Key findings

- Feasibility of MgF MOT with small g-factor and high decay rate.
- Optimal multi-frequency polarization configurations identified.
- Proposed 3+1 frequency scheme enhances trapping efficiency.

## Abstract

We present a theoretical study of magneto-optical trapping (MOT) force exerted on magnesium monofluoride (MgF) with 3D rate equations, in which we have considered the complex vibrational and rotational levels and the effects of small internal splittings and degeneracies,including fine and hyperfine structures and the magnetic quantum numbers. We investigate the feasibility of MOT for MgF with a very small excited state g-factor ($g_{e} = -0.0002$) and a large radiative decay reate (${\Gamma} = 2{\pi}\times22$MHz) for the electronic transition of X$^2{\Sigma}^{+}$ to A$^2\Pi_{1/2}$ states. We also optimize the MOT with reference to the three-, four- and more-frequency component models with various polarization configurations and detunings. By applying the dual frequency arrangement to more than one hyperfine level, we suggest a configuration of the 3+1 frequency components for achieving the MOT of MgF.

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Source: https://tomesphere.com/paper/1903.00609