Deep laser cooling of Mg in dipole trap for frequency standard

We study deep laser cooling of ²⁴Mg atoms in dipole optical trap with pumping field resonant to narrow (3s3s)¹S0 → (3s3p)³P1 (λ, = 457nm) optical transition. We consider two quantum models: the first one 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 on vibration states in dipole trap. Both models shows close results. We search pumping field intensity and detuning for minimum laser cooling energy of atoms and fast laser cooling.