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Physical Review A

Cooling of atoms in colored vacua

Maciej Lewenstein, L. Roso

Published Apr 1, 1993• 23 citations
Publisher

Abstract

We study light-induced mechanical forces that act on atoms interacting with colored photon reservoirs. An exact treatment to calculate the forces, based on the numerical computation of a hierarchy of correlation functions, is presented. We show that such forces may be significantly larger than that in free space. Our numerical results confirm and extend a previously existing simplified model to describe such forces.

DOI
10.1103/physreva.47.3385

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We study light-induced mechanical forces that act on atoms interacting with colored photon reservoirs. An exact treatment to calculate the forces, based on the numerical computation of a hierarchy of correlation functions, is presented. We show that such forces may be significantly larger than that in free space. Our numerical results confirm and extend a previously existing simplified model to describe such forces.
The characteristics of dissipative mechanical forces acting on strongly driven atoms depend on the spontaneous decay rate of the driven transition. In previous studies,1 it has been assumed that the spontaneous decay rates arise from the coupling of the atoms to the free-space electromagnetic vacuum reservoir. Recently, it has been shown2 that new and novel physics can arise when the reservoir that mediates atomic relaxation is colored (frequency dependent) as can be accomplished by a suitably designed cavity or waveguide. We show that a two-level atom moving in an intense rest-frame-resonant standing-wave and decaying via coupling to a colored vacuum reservoir experiences a damping force (which is substantially larger than that predicted in other studies) useful in slowing the atom. This force, unlike traditional cooling forces, is effective over a dramatically wide range of atomic velocities. In fact, the force can be effective even for thermal velocity atoms if the vacuum is strongly colored.
In the preceding chapters, we discussed the manipulation and observation of atomic variables associated with the internal degrees of freedom. A complete separation between internal and external degrees of freedom, like position and momentum, is not always possible, however. It therefore appears appropriate to include a discussion of the mechanical effects of light, which have received increasing attention in recent years. The transfer of momentum between photons and atoms, first observed more than sixty years ago, had to wait for the wide availability of lasers to become a useful experimental tool. In particular the cooling of atoms and atomic ions to very low temperatures has found numerous applications. Light-induced forces That light exerts mechanical forces on massive particles like atoms may appear surprising. To motivate the existence of such an effect two different approaches are possible. The first approach considers the light as a collection of photons that carry, apart from energy and angular momentum, linear momentum as well. Photons interacting with atoms can therefore change the momentum of the atoms. The second approach considers light as a wave, i.e., an inhomogeneous electromagnetic field interacting with the atomic dipole moment. Both approaches provide a possible description for the numerous phenomena that can occur in this context, but in many situations, one of them turns out to be more intuitive or more useful for calculations than the other.
An analytical description of long-range collisions between atoms in a laser cooling field is developed. We begin by considering an N-atom master equation. In the regime of low atomic densities (i.e., where the mean distance between two atoms is much larger than the laser wavelength) it is possible to treat the atom-atom interactions in perturbation theory. Furthermore we assume temperatures which allow a semiclassical treatment of the cooling process. The effect of the presence of other atoms can be separated analytically into two parts; an attenuation force due to the absorption of the laser beams in the atomic cloud similar to the results of Dalibard [Opt. Commun. 68, 203 (1988)], which tends to compress the atomic cloud, and a two-atom force due to photon emission and absorption cycles between different atoms. This force proves to be repulsive for the configurations studied and prevents the cloud from collapsing. The result for the first-order perturbation expansion in collision strength generalizes the model proposed by Walker, Sesko, and Wieman [J. Opt. Soc. B 8, 946 (1991)] by including additional terms, such as those associated with Raman couplings.