Effects Of Inter-Modal And Intra-Modal Interactions In A Three-Mode Atom-Molecule Bose-Einstein Condensates: Squeezed States

Abstract

We theoretically study a three mode atom-molecule Bose-Einstein condensates (BECs) with one atomic BEC, one excited molecular BEC and one stable molecular BEC, considering their intra-modal and inter-modal couplings. The atoms in an atomic BEC are transferred to a stable molecular BEC via an intermediate excited molecular BEC using Bose-Stimulated Raman Adiabatic Passage (STIRAP). We solve analytically the Hamiltonian of the system to study the stability and quantum squeezing of the system. Consistency with the experimental results, our result also confirms the stability of molecules in the stable molecular BEC. Interestingly, in our system, squeezing is present in all three modes whereas if we consider only intermodal interactions, squeezing is present only in atomic BEC.