Acoustic horizon as a phase-slip surface

A recent experiment has demonstrated formation of a supersonic region in a convergent two-dimensional flow of a condensate of cesium atoms. Theoretical description of this effect has made use of stationary solutions to the Gross-Pitaevskii equation with a 3-body dissipative term. Here, we further develop that description, focusing on a new stationary solution, linear stability analysis, and properties of the time-dependent “resistive” state.