“…In this paper, we study the phenomenon of self-organization arising in an optically nonlinear sample due to diffractive coupling via single mirror feedback [20,21]. While initial observations of these structures were performed in liquid crystals and warm atomic vapors [22,23], the scheme was recently extended to thermal cold gases, where the nonlinearity can be of optomechanical, electronic saturable, or magnetic origin, with corresponding structuring of atomic density, optical coherence, and magnetization, respectively [5,6,[24][25][26]. These systems are interesting as they have a single pump axis and hence allow for spontaneous symmetry breaking of the translational and rotational degrees of freedom in the plane transverse to this axis, whereas in systems with multiple distinguished axes (e.g., a cavity axis and a pump axis), the potential symmetries and realizations are constrained.…”