Three-body loss rate of unitary Bose gas

Quantum gases at unitarity can exhibit interesting features, for instance their universal thermodynamics. In the past, unitary Fermi gases in degenerate limit have been studied extensively. As recent experiments [1, 2] show unitary Bose gases can be stabilized at relatively high temperatures, we would like to ask an important question whether a Bose gas can persist in a well defined thermodynamic state at lower temperatures, even to the degenerate limit [3] where the medium affects the three-body loss rate crucially. By calculating the three-body recombination rate while taking into account the scattering with the medium, we have an estimate of the temperature (scale) above which thermodynamic quantities of a metastable branch can be studied in a unitary Bose gas. [1] Rem, B. S., et al. ``Lifetime of the Bose Gas with Resonant Interactions." Physical review letters 110.16 (2013): 163202. [2] Fletcher, Richard J., et al. ``Stability of a unitary Bose gas." Physical review letters 111.12 (2013): 125303. [3] Makotyn, Philip, et al. ``Universal dynamics of a degenerate unitary Bose gas." arXiv preprint arXiv:1308.3696 (2013).