Gs. Agarwal et K. Molmer, CORRELATION-FUNCTION APPROACH TO THE MOMENTUM DIFFUSION OF ATOMS MOVING IN STANDING WAVES, Physical review. A, 47(6), 1993, pp. 5158-5164
We consider the momentum diffusion of atoms moving in a standing-wave
laser field. We show how the correlation-function approach as original
ly applied to atoms at rest can be generalized to derive the velocity
dependence of the momentum diffusion coefficient in standing waves, an
d that it gives results in agreement with the transport-equation appro
ach to laser cooling. As an example we apply our calculations to deter
mine the achievements of laser cooling in intense fields where cooling
may occur around a nonvanishing velocity. Here we obtain temperatures
which are 30% lower than the corresponding minimum obtained around ze
ro velocity. Our explicit calculations involve usage of the optical Bl
och equations, the quantum regression theorem, and the matrix continue
d-fraction method.