准一维玻色-爱因斯坦凝聚体中的Shock waves
Shock waves in a quasi one-dimensional Bose-Einstein condensate
摘要：
本文用解析和数值方法研究了由稀碱金属原子和超冷碱金属原子组成的准一维玻色-爱因斯坦凝聚体（BEC）中激波的产生。对于BEC，我们使用基于一维非多项式薛定谔方程（1D NPSE）的状态方程，该状态方程考虑了横向方向上的密度调制并概括了熟悉的1D Gross-Pitaevskii方程（1D GPE）。比较1D NPSE与1D GPE，我们发现在冲击波的动力学的传播速度，形成的冲击的时间，和余震色散波纹的波长的定量差异。
英文摘要：
We study analytically and numerically the generation of shock waves in a quasi one-dimensional Bose-Einstein condensate (BEC) made of dilute and ultracold alkali-metal atoms. For the BEC we use an equation of state based on a 1D nonpolynomial Schrodinger equation (1D NPSE), which takes into account density modulations in the transverse direction and generalizes the familiar 1D Gross-Pitaevskii equation (1D GPE). Comparing 1D NPSE with 1D GPE we find quantitative differences in the dynamics of shock waves regarding the velocity of propagation, the time of formation of the shock, and the wavelength of after-shock dispersive ripples.
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。
