发表机构
Physical-Technical Institute, Uzbek Academy of Sciences; Institute of Theoretical Physics, National University of Uzbekistan; School of Science and Technology, Örebro University; HMU Research Center, Institute of Emerging Technologies（乌兹别克斯坦科学院物理技术研究所; 乌兹别克斯坦国立大学理论物理研究所; 厄勒布鲁大学理学院; 新兴技术研究所HMU研究中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对二维玻色-爱因斯坦凝聚体的物质波矢量孤子，推导了平均矢量Gross-Pitaevskii方程，发现非线性量子压强可稳定孤子，数值模拟证实非线性管理能大幅延长孤子寿命。
AI 中文摘要
研究了二维情况下物质波矢量孤子在非线性管理下的演化，推导了物种间相互作用随时间经历强且快速调制的平均矢量Gross-Pitaevskii方程，该平均过程会产生依赖于另一组分粒子数的有效非线性量子压强。利用该方程组，研究了平均场非线性管理下二维物质波矢量孤子的动力学稳定性，结果表明非线性量子压强可抑制平均系统中的坍缩，形成稳定的矢量孤子；对原始含时Gross-Pitaevskii方程组的全数值模拟证实，与未管理情况相比，该管理方式可显著延长这些孤子的寿命。
英文摘要
The evolution of matter-wave vector solitons in two dimensions under nonlinearity management is studied. The averaged over strong and rapid modulations in time of the inter-species interactions vector Gross-Pitaevskii equation is derived. The averaging gives the appearance of the effective nonlinear quantum pressure depending on the population of the other component. Using this system of equations, the dynamical stabilization of the two-dimensional vector matter-wave solitons under the management of the mean-field nonlinearity is investigated. It is shown that the nonlinear quantum pressure arrests the collapse in the averaged system, giving rise to stable vector solitons. Full numerical simulations of the original, time-dependent system of Gross-Pitaevskii equations confirm that the management strongly prolongs the lifetime of these solitons compared to the unmanaged case.
Comments16 pages, 7 figures
