2012/11/12 by A. Dalafi, M. H. Naderi, M. Soltanolkotabi +1
Computer Science · Engineering · Physics and Astronomy · #Mechanical and Optical Resonators #Photonic and Optical Devices #Quantum Information and Cryptography #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physreva.87.013417
published as Physical Review A 87, 013417 (2013) · arXiv admin note: text overlap with arXiv:1004.1813 by other authors
arxiv created 2012/11/12 · openalex publication_date 2013/01/17 · arxiv updated 2013/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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 Bogoliubov approximation the atom-atom interaction shifts the energies of the excited modes and also plays the role of an optical parametric amplifier for the Bogoliubov side mode which can affect its normal-mode splitting behavior. On the other hand due to the atomic collisions the resonance frequency of the cavity is shifted which leads to the decrease of the number of cavity photons and the depletion of the Bogoliubov mode. Besides, it reduces the effective atom-photon coupling parameter which consequently leads to the decrease of the entanglement between the Bogoliubov mode and the optical field.