We propose a method to laser-cool atoms based on stochastic cooling, first
developed at CERN to cool antiprotons. Fluctuations in the momentum distrib
ution will be detected in a pump-probe configuration with far-detuned laser
s, and the appropriate correction kick will be accomplished with optical di
pole potentials. Each stage of an iterative cooling process will involve me
asurement and feedback, with phase space remixing in between. We discuss po
ssible applications of this method to magnetically trapped atoms and molecu
les. [S1050-2947(98)05012-4].