2014/03/29 by A. Dalafi, Dalafi, A., M. H. Naderi +3
Engineering · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mechanical and Optical Resonators #Photonic and Optical Devices #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1403.7624
arxiv created 2014/03/29 · openalex publication_date 2014/03/29 · arxiv updated 2014/04/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we investigate theoretically a system consisting of a one dimensional Bose-Einstein condensate trapped inside the optical lattice of an optical cavity. In the weak-interaction regime and under the Bogoliubov approximation, the wave function of the Bose-Einstein condensate can be described by a classical field (condensate mode) having some quantum fluctuations (the Bogoliubov mode) about the mean value. Such a system behaves as a so-called atomic parametric amplifier, similar to an optical parametric amplifier, where the condensate and the Bogoliubov modes play respectively, the roles of the pump field and the signal mode in the degenerate parametric amplifier and the s-wave scattering frequency of atom-atom interaction plays the role of the nonlinear gain parameter. We show that using the nonlinear effect of atomic collisions, how one can manipulate and control the state of the Bogoliubov mode and produce squeezed states.