B. Matisov et al., SUBRECOIL LASER COOLING BY VELOCITY-SELECTIVE COHERENT POPULATION TRAPPING IN CASCADE SYSTEMS, Zhurnal eksperimental'noj i teoreticheskoj fiziki, 107(3), 1995, pp. 680-703
A theoretical analysis of laser cooling of atoms by velocity-selective
coherent population trapping in a three-level cascade system is prese
nted. We show that the temperature of the cooled atoms can be well bel
ow the value determined by the recoil energy. Conditions For coherent
population trapping in the cascade scheme to be established are derive
d and, different implementations of cascade schemes are discussed. The
analysis of laser cooling dynamics is performed with both full quantu
m and quasiclassical (for translational motion of atoms) approaches. W
e study the temporal evolution of the atomic momentum distribution and
the efficiency of the cooling method considered. The analytical solut
ion for the atomic density matrix is obtained in the limit of large in
teraction time and small kinetic momentum of the atom.