Mobility properties of 2D cavity solitons in systems with delayed feedback

In this communication, the authors investigate numerically and analytically the influence of delayed feedback on the mobility properties of 2D cavity solitons. The authors consider a passive cavity filled with a two-level medium and driven by a coherent injection beam. The authors report on a new type of instability leading to a spontaneous drift of dissipative solitons. The authors show that when the product of the delay time and the feedback amplitude exceeds a certain threshold, a single circularly symmetric localized structure starts to move in an arbitrary direction.