论文标题
在Dirac Delta功能电位中的自旋轨道耦合冷原子的结合状态
Bound states of spin-orbit coupled cold atoms in a Dirac delta-function potential
论文作者
论文摘要
Dirac Delta功能电位在量子力学中被广泛研究，因为它通常可以完全解决，同时也可以对各种物理系统进行建模。在这里，我们研究了三角洲诱捕的Spinorbit耦合原子的系统。自旋轨道耦合原子物质波具有两种逃生模式，其中一种具有纯粹的假想波形，并且是普通的evanescent浪潮。而另一个具有复杂数波矢量的驱动器被认为是振荡的逃生波。我们确定了本系统中特征谱光谱和结合状态的存在。可以使用两种evaneScent模式在分析上构建结合状态，我们发现它们表现出条纹相，分离相或零摩托姆相的典型特征。除此之外，还讨论了半结合状态的特性，这是平面波背景上的局部波数据包。
Dirac delta-function potential is widely studied in quantum mechanics because it usually can be exactly solved and at the same time is useful in modeling various physical systems. Here we study a system of delta-potential trapped spinorbit coupled cold atoms. The spin-orbit coupled atomic matter wave has two kinds of evanescent modes, one of which has pure imaginary wavevector and is an ordinary evanescent wave; while the other with a complex number wave vector is recognized as oscillating evanescent wave. We identified the eigenenergy spectra and the existence of bound states in this system. The bound states can be constructed analytically using the two kinds of evanescent modes and we found that they exhibit typical features of stripe phase, separated phase or zero-momentum phase. In addition to that, the properties of semi-bound states are also discussed, which is a localized wave packet on a plane wave background.
