Self-ordering Supersolid Phase beyond Dicke Superradiance in a Ring Cavity

Abstract

The supersolid phase which is characterized by the superfluid and long-range spatial periodicity of crystalline order is central to many branches of science ranging from condensed matter physics to ultracold atomic physics. Here we study a self-ordering checkerboard supersolid phase originating from dynamic spin-orbit coupling (SOC) for a transversely pumped atomic BEC trapped in a ring cavity, corresponding superradiant anti-Tavis-Cummings phase transition. In particular, an undamped gapless Goldstone mode is observed in contrast to the experimental realized latticesupersolid with a gapped roton mode for Dicke superradiance. This zero energy mode reveals the rigidity for the self-ordering superradiant phases, which spontaneously breaks a continuous translational symmetry. Our work highlights the significant opportunities for exploring novel long-lived supersolid matters by utilizing dynamic SOC in controllably optical cavity.