Quantum Statistical Properties of Photons and Atoms in Interaction of an Atomic Bose–Einstein Condensate with Lasers**The project supported in part by National Natural Science Foundation of China, the Natural Science Foundation of Hunan Province and special project of the NSF Through The Institute of Theoretical Physics, Academia Sinica

Abstract

In this paper, we study quantum statistical properties of atoms and photons in interaction of -atomic Bose–Einstein condensate in the ground-state hyperfine sublevels with laser fields. We investigate not only quantum conversions between atoms in the condensate and photons in the quantized laser field, but also transfer of nonclassical characteristics of atoms and photons between input states and output states when the atom field is initially in a number state and the quantized laser field is in the even coherent state and the odd coherent state, respectively. We find various conditions to realize these quantum conversions. We also study atom-photon quantum correlations and their input-output conversions. It is indicated that there are atom-field nonclassical correlations.