Stable solitons in polariton condensate systems with a Moiré lattice external potential

Abstract We propose schemes for realizing various forms of bright solitons, bright vortices, and breathing solitons in a non-resonant, incoherently pumped exciton-polariton condensate system by introducing a two-dimensional Moiré lattice external potential. The symmetric shape of the soliton, at the center of the potential field is determined by the rotation angle of the two-dimensional Moiré lattice external potential. Within a specific range of rotation angles, the stability of the soliton is governed by the depth of the second sub-lattice. These two parameters mutually influence and constrain the soliton’s characteristics, and under certain rotation angles and sub-lattice depths, a bright vortex can be formed. At low pumping levels and with carefully chosen peak-to-valley positions in the external potential, the rotation angle becomes the primary factor controlling the distinct forms of breathing bright solitons. Our proposal provides effective schemes for the formation and control of various types of bright solitons and bright vortices in systems employing Moiré lattice external potentials. This scheme for realizing polariton Bose–Einstein condensates (BECs) within a Moiré lattice external potential also holds promise for advancing research in fields such as superfluidity and superconductivity.