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Nonlinear effects of atomic collisions on the optomechanical properties of a Bose-Einstein condensate in an optical cavity
In this paper, we have investigated theoretically the influence of atomic collisions on the behavior of a one-dimensional Bose-Einstein condensate inside a driven optical cavity. We develop the discrete-mode approximation for the condensate taking into account the interband transitions due to the $s$-wave scattering interaction. We show that in the …