Robust generation of entanglement in Bose-Einstein condensates by collective atomic recoil

The investigation of how cavity radiation losses and atomic decoherence influence the generation of two and three model entanglements in the collective atomic recoil lasing (CARL) were discussed. The experimental realization of Bose-Einstein condensation opened the possibility to generate macroscopic atomic fields whose quantum statistical properties could be manipulated and controlled. The study examines the detail of two complementary limits of high-Q cavity and bad cavity. It was found that three-mode entanglement as well as two-mode atom-atom and atom radiation entanglement was generally robust against losses and decoherence and makes the present system good for the experimental observation of entanglement in condensate systems.