  Motivated by recent experiments, we explore the kinetics of Bose-Einstein
condensation in the upper band of a double well optical lattice. These
experiments engineer a non-equilibrium situation in which the highest energy
state in the band is macroscopically occupied. The system subsequently relaxes
and the condensate moves to the lowest energy state. We model this process,
finding that the kinetics occurs in three phases: The condensate first
evaporates, forming a highly non-equilibrium gas with no phase coherence.
Energy is then redistributed among the noncondensed atoms. Finally the atoms
recondense. We calculate the time-scales for each of these phases, and explain
how this scenario can be verified through future experiments.
