Cooling a Gas of Fermions

When a gas of fermions is cooled to the same temperature, there is no phase transition to a condensate since the fermions cannot occupy the same quantum energy level. And, so, at these low temperatures, the motion of the atoms in some kind of container, some trap, is quantized. And so there's one atom moving in the lowest quantum mechanical motion state of the trap, and then there's one moving in the second lowest, and one in the third. And so, you always have quite a bit of motion or kinetic energy in that gas even at low temperatures.