This paper reviews the use of adiabatic approximations in quantum optics.The general principle is explained in terms of the Landau-Zener model and the recently developed stimulated Raman adiabatic passage scheme. The features characteristic of adiabatic evolution are extracted from these examples. Our recent work on adiabatic level preparation and cavity mode transfer of excitation is presented and discussed.
In many fields of atomic and molecular physics we need to combine the center-of-mass motion with internal degrees of freedom. In this work, the classical motion in phase space is separated from the quantum processes by a multiple-time-scale approach. The expansion parameter is proportional to Planck's constant. The theory is given and illustrated by examples: the semiclassical description of a particle without internal states, the extraction of a classical trajectory and the derivation of the light-induced force.
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