均匀介质与非线性光晶格界面上的孤子动力学
Soliton dynamics at an interface between uniform medium and nonlinear optical lattice
摘要：
研究了非线性光晶格与均匀介质交界面中物质波孤子的捕获和传输。研究了宽孤子和窄孤子传输的不同机制。孤子的反射和透射被预测为晶格相位的函数。在非线性光晶格的振幅中存在一个阈值，将透射和反射区分开，这一点得到了验证。发现了局域非线性表面态，对应于界面俘获的孤子，数值模拟证实了变分法对含非线性周期势的Gross-Pitaevskii方程的预言.
英文摘要：
We study trapping and propagation of a matter-wave soliton through the interface between uniform medium and a nonlinear optical lattice (NOL). Different regimes for transmission of a broad and a narrow soliton are investigated. Reflections and transmissions of solitons are predicted as function of the lattice phase. The existence of a threshold in the amplitude of the nonlinear optical lattice, separating the transmission and reflection regimes, is verified. The localized nonlinear surface state, corresponding to the soliton trapped by the interface, is found. Variational approach predictions are confirmed by numerical simulations for the original Gross-Pitaevskii equation with nonlinear periodic potentials.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
