论文标题
Rydberg戴的Bose-Einstein的非线性动力学在三孔电势中凝结
Nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates in a triple-well potential
论文作者
论文摘要
我们研究了在半经典限制中捕获的三孔电位的Rydberg涂层玻色凝结物（BEC）的非线性动力学。 Rydberg穿着的BEC经历了长距离软核的互动，从而在三孔系统中产生了最接近和下一个最新的邻居相互作用。使用平均场Gross-Pitaevskii（GP）方程式，我们表明当软核相互作用较强时，特征光谱的较低分支表现出循环和水平交叉。直接水平交叉消除了三孔电势倾斜时绝热兰道的过渡的可能性。我们证明，与具有短距离或偶极相互作用的BEC相比，远程相互作用可以在一个，两个或三口井中自我诱捕。三孔玻色bard模型的精确量子模拟表明，可以使用少于十二个玻色子观察到自捕获和非绝热过渡。我们的研究与当前对Rydberg修饰原子的集体激发和非线性动态的研究有关。
We study nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates (BECs) trapped in a triple-well potential in the semiclassical limit. The Rydberg-dressed BECs experience a long-range soft-core interaction, giving rise to strong nearest and next-nearest neighbor interactions in the triple-well system. Using mean-field Gross-Pitaevskii (GP) equations, we show that lower branches of the eigenspectra exhibit loops and level-crossings when the soft-core interaction is strong. The direct level-crossings eliminate the possibility of adiabatic Landau-Zener transitions when tilting of the triple-well potential. We demonstrate that the long-range interaction allows for self-trapping in one, two, or three wells, in a far more controllable manor than BECs with short-range or dipolar interactions. Exact quantum simulations of the three-well Bose-Hubbard model indicate that self-trapping and nonadiabatic transition can be observed with less than a dozen bosons. Our study is relevant to current research into collective excitation and nonlinear dynamics of Rydberg-dressed atoms.
