Is sympathetic cooling of fermions limited by the heat capacity of the coolant?
Abstract
The sympathetic cooling of an initially degenerate Fermi gas by either an ideal Bose-condensed gas or an ideal Boltzmann gas is investigated. It is shown that the efficiency of cooling by a Bose-condensed gas is by no means reduced when its heat capacity becomes much less than that of the Fermi gas, where efficiency is measured by the decrease in the temperature of the Fermi gas per number of particles evaporated from the coolant. This contradicts the intuitive idea that an efficient coolant must have a large heat capacity. In contrast, for a Boltzmann gas a minimal value of the ratio of the heat capacities is indeed necessary to achieve T=0 and all of the particles must be evaporated.Keywords
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