Theoretical study of bosonic atoms with competing short- and global-range interactions in an optical lattice

摘要

We consider bosonic atoms loaded into optical lattices with cavity-mediatedinfinite-range interactions. Competing short- and global-range interactionscultivates a rich phase diagram. With a systematic field-theoreticalperspective, we present an $\emph{analytical}$ construction of globalground-state phase diagram. We derive an effective theory describingcompressible superfluid and supersolid states. We construct a self-consistentmean-field theory and find numerical results consistent with our theoreticalanalysis.