Reversible Formation of a Bose-Einstein Condensate

We present a method of adiabatically changing the local phase-space density of an ultracold gas using a combination of magnetic and optical forces. Applying this method, we observe phase-space density increases in a gas of sodium atoms by as much as 50-fold. The transition to Bose-Einstein condensation was crossed reversibly, attaining condensate fractions of up to $30\%$. Measurements of the condensate fraction reveal its reduction due to interactions.