Paper Title
Entanglement Between Bec Bogoliubov Modes And Output Optical Field Of A Cavity

In this paper, we exploit the entanglement between output _field and the lowest bands (c10; c01) of a one dimensional BEC inside a driven optical cavity. We consider atomic collision on the behavior of the BEC in the weak photon-atom coupling, and use Bogoliubov approximation for the condensate. This entanglement is explained as being generated by a scattering process owing to which strong quantum correlations between the Bogoliubov modes and the optical Stokes sideband are created. We show that the Bogoliubov modes and the sideband modes form a fully bipartite and tripartite entangled system capable of providing a novel tool for generating and robust solutions for continuous-variable quantum-communication entanglement.