The influence of atomic collisions on collective spontaneous emission from an f-deformed Bose-Einstein condensate

Abstract

In this paper, we investigate the spontaneous emission of an f-deformed Bose-Einstein condensate of a gas with N identical two-level atoms immersed in a single-mode ideal cavity with s atoms initially excited. We apply an f-deformed quantum model in which Gardiner's phonon operators are deformed by an operator-valued function of the particle number operator . We consider the collisions between the atoms as a special kind of f-deformation where the collision rate κ is regarded as a corresponding deformation parameter. The time evolution of the expectation value of the atomic inversion is presented, the phenomenon of collective collapses and revivals is shown and the effects of deformation on the cooperative behaviour of the system are discussed. © 2009 IOP Publishing Ltd.