The low temperature unitary Bose gas is a fundamental paradigm in few-body
and many-body physics, attracting wide theoretical and experimental interest.
Here we first present a theoretical model that describes the dynamic
competition between two-body evaporation and three-body re-combination in a
harmonically trapped unitary atomic gas above the condensation temperature. We
identify a universal magic trap depth where, within some parameter range,
evaporative cooling is balanced by recombination heating and the gas
temperature stays constant. Our model is developed for the usual
three-dimensional evaporation regime as well as the 2D evaporation case.
Experiments performed with unitary 133 Cs and 7 Li atoms fully support our
predictions and enable quantitative measurements of the 3-body recombination
rate in the low temperature domain. In particular, we measure for the first
time the Efimov inelasticity parameter η * = 0.098(7) for the 47.8-G
d-wave Feshbach resonance in 133 Cs. Combined 133 Cs and 7 Li experimental data
allow investigations of loss dynamics over two orders of magnitude in
temperature and four orders of magnitude in three-body loss. We confirm the 1/T
2 temperature universality law up to the constant η *