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Three-body recombination in quantum gases is traditionally associated withheating, but it was recently found that it can also cool the gas. We show thatin a partially condensed three-dimensional homogeneous Bose gas three-body losscould even purify the sample, that is, reduce the entropy per particle andincrease the condensed fraction $\eta$. We predict that the evolution of $\eta$under continuous three-body loss can, depending on small changes in the initialconditions, exhibit two qualitatively different behaviours - if it is initiallyabove a certain critical value, $\eta$ increases further, whereas clouds withlower initial $\eta$ evolve towards a thermal gas. These dynamical effectsshould be observable under realistic experimental conditions.

Can three-body recombination purify a quantum gas?