Finite temperature disordered bosons in two dimensions

Understand

We study phase transitions in a two dimensional weakly interacting Bose gas in a random potential at finite temperatures.

• We identify superfluid, normal fluid, and insulator phases and construct the phase diagram.
• At T=0 one has a tricritical point where the three phases coexist.
• The truncation of the energy distribution at the trap barrier, which is a generic phenomenon in cold atom systems, limits the growth of the localization length and in contrast to the thermodynamic limit the insulator phase is present at any temperature.