Rydberg-dressed Bose–Einstein condensate with spin–orbit coupling confined in a radially periodic potential

Abstract

The use of Rydberg dressing technology to achieve long-range soft-core interaction in Bose Einstein condensates opens up new avenues for exploration of supersolid and its related phenomenon. We investigate the ground state of a two-component spin-orbit-coupled Bose-Einstein condensates with both long-range soft-core and contact interactions in radially periodic potentials. Our results show that the ground-state structures of the system are strongly influenced by spin-orbit coupling, contact interactions, long-range soft-core interactions, and the amplitude of the external potential. We find that such parameters can been used to induce desired ground-states structures, such as necklace structure of lump, striped standing wave, and especially ring dark soliton. Furthermore, we observe
that the long-range soft-core interactions are used to manipulate the transition between miscible immiscible phases like contact interactions. Our research provides another degree of freedom for manipulating supersolids in spin-orbit-coupled Bose-Einstein condensates.