# Deep laser cooling in optical trap: two-level quantum model

## TL;DR

This paper investigates laser cooling of magnesium atoms in an optical trap using two quantum models to optimize cooling energy and speed, considering quantum recoil effects.

## Contribution

It introduces two quantum models for laser cooling in optical traps, enabling analysis of recoil effects and optimization of cooling parameters.

## Key findings

- Optimal pumping field intensity and detuning for minimum cooling energy.
- Comparison of two quantum models for laser cooling.
- Identification of conditions for fast laser cooling.

## Abstract

We study laser cooling of $^{24}$Mg atoms in dipole optical trap with pumping field resonant to narrow $(3s3s)\,^1S_0 \rightarrow \, (3s3p)\,^{3}P_1$ ($\lambda = 457$ nm) optical transition. For description of laser cooling of atoms in the optical trap with taking into account quantum recoil effects we consider two quantum models. The first one is based on direct numerical solution of quantum kinetic equation for atom density matrix and the second one is simplified model based on decomposition of atom density matrix over vibration states in the dipole trap. We search pumping field intensity and detuning for minimum cooling energy and fast laser cooling.