Deviations from Boltzmann-Gibbs Statistics in Confined Optical Lattices

摘要

We investigate the semiclassical phase-space probability distribution P(x, p) of cold atoms in a Sisyphus cooling lattice with an additional harmonic confinement. We pose the question of whether this nonequilibrium steady state satisfies the equivalence of energy and probability. This equivalence is the foundation of Boltzmann-Gibbs and generalized thermostatic statistics, and a prerequisite for the description in terms of a temperature. At large energies, P(x, p) depends only on the Hamiltonian