Impact of Quantum Fluctuations on the Modulational Instability of a Modified Gross-Pitaevskii Equation with Two-Body Interaction

• 作者: Alidou Mohamadou Camus Gaston Latchio Tiofack Hermance Moussambi Thierry Blanchard Ekogo Timoleon C. Kofane
• 来源期刊: 应用数学(英文)
• 学科: 物理学
• 关键词: Modulational INSTABILITY MODIFIED Gross-Pitaevskii EQUATION QUANTUM FLUCTUATIONS
• 年，卷（期）: yysxyw_2012,（8）
• 页码范围: 844-850
• 页数: 7页
• 分类号: O41

摘要

Modulational instability conditions for the generation of localized structures in the context of matter waves in Bose-Einstein condensates are investigated analytically and numerically. The model is based on a modified Gross-Pitaevskii equation, which account for the energy dependence of the two-body scattering amplitude. It is shown that the modified term due to the quantum fluctuations modify significantly the modulational instability gain. Direct numerical simulations of the full modified Gross-Pitaevskii equation are performed, and it is found that the modulated plane wave evolves into a train of pulses, which is destroyed at longer times due to the effects of quantum fluctuations.