Cooperative cooling in a one-dimensional chain of optically bound cold atoms

We discuss theoretically the optical binding of one-dimensional chains of cold atoms shone by a transversepump, where particles self-organize to a distance close to an optical wavelength. As the number of particlesis increased, the trapping potential increases logarithmically as the contributions from all atoms add upconstructively. We identify a cooperative cooling mechanism, due to the mutual exchange of photons betweenatoms, which can beat the spontaneous emission for chains that are long enough. Surprisingly, the cooling isoptimal very close to the resonance. This peculiar cooling mechanism thus gives new insights into the cooperativephysics of low-dimensional cold atom systems.