Degenerate fermion gas heating by hole creation

Loss processes that remove particles from an atom trap leave holes behind in the single particle distribution if the trapped gas is a degenerate fem-lion system. The appearance of holes increases the temperature and we show that the heating (i) is significant if the initial temperature is well below the Fermi temperature T-F, and (ii) increases the temperature to T greater than or equal to T-F/4 after half of the system's lifetime, regardless of the initial temperature. The hole heating has important consequences for the prospect of observing Cooper pairing in atom traps.