Pseudospin orders in the supersolid phases in binary Rydberg-dressed Bose-Einstein condensates

We show that the five possible ordered states in a two-dimensional quantum spin-1/2 system with long-range exchange interactions (Néel, ladder, Peierls, longitudinal-domain, and transversal-domain states) can be realized in a binary Rydberg-dressed BEC system in the supersolid phase. In such a system, blockade phenomenon is shown to also occur for pairs of different excited-state atoms, which results in similar intraspecies and interspecies long-range interactions between ground-state atoms. It suggests that a pseudospin system can be possibly formed in the ground state of ultracold rubidium.