Development of instability of dark solitons generated by a flow of Bose-Einstein condensate past a concave corner

TL;DR

This paper investigates the instability and decay of dark solitons in a Bose-Einstein condensate flowing past a concave corner, revealing the snake instability and vortex formation with analytical validation.

Contribution

It provides a detailed analysis of dark soliton instability in BEC flow past a wedge, combining numerical and analytical methods to understand decay mechanisms.

Findings

Dark solitons exhibit snake instability during evolution.

Decay time of solitons matches analytical growth rate estimates.

Vortex formation occurs as a result of soliton decay.

Abstract

The stability of dark solitons generated by a supersonic flow of a Bose-Einstein condensate past a concave corner (or a wedge) is studied. It is shown that solitons in the dispersive shock wave generated at the initial moment of time demonstrate a snake instability during their evolution to stationary curved solitons. Time of decay of soliton to vortices agrees very well with analytical estimates of the instability growth rate.