2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229131We study the many-body state of ultracold bosons in a bistable optical lattice potential in an optomechanical resonator in the weak-coupling limit. New physics arises as a result of bistability and discontinuous jumps in the cavity field. Of particular interest is the situation where the optical cavity is engineered so that a single input beam can result in two radically different stable ground states for the intracavity gas: superfluid and Mott-insulator.5 pages, 3 figuresQuantum PhysicsOther Condensed Mattertext