Trap environment effects over quantum statistics and atom-photon correlations in the collective atomic-recoil laser

We consider the effects of the trap environment on atomic and optical quantum statistical properties and on atom-photon correlations in the collective atomic-recoil laser. Atomic and optical statistical properties, as well as atom-photon correlations are dependent on the optical-field intensity and phase. In particular, depending on the values of the optical-field intensity and phase, the field statistics vary from coherent to superchaotic.