We show, experimentally and using quantum Monte Carlo simulations, tha
t the quasithermal paramagnetic behavior of cesium atoms in a one-dime
nsional lin perpendicular to lin optical lattice is characterized by a
spin temperature of twice the zero-field kinetic temperature. The mag
netization is maximum and almost perfect when the Zeeman shift of the
extreme magnetic sublevels approximately equals half the maximum light
shift. The lifetime of magnetization and the laser-cooling time const
ant are found to be clearly distinct, the magnetization decay time amo
unting to at least three times the cooling time. Using simulations we
find that the magnetic-dipole correlation time is approximately propor
tional to the angular momentum F of the atoms, while cooling and energ
y correlation time constants are approximately independent of F. Our r
esults imply that for large F laser cooling within single light-shift
potential wells (local cooling) occurs. [S1050-2947(98)51310-8].