Quantum Dynamics and Entanglement Properties of a Three-mode Atom-molecule Bose-Einstein Condensates

Abstract

We solve analytically the Hamiltonian of a three mode atom-molecule Bose-Einstein condensates (BECs) where the molecular mode is prepared through photoassociative Bose-stimulated Raman adiabatic passage (STIRAP). Using these solutions we investigate the time dependence population densities in all three modes and entanglement properties among the modes. We find that the stable molecular mode will remain highly populated over time as expected for STIRAP. We also observe the signature of entanglement between atomicBEC and excited molecular Bose-Einstein condensate (MBEC) mode as observed in two mode atom-molecule BECs, but the atomic BEC and stable molecular BEC are always separable.