原子散射体对物质波二维和三维强局域化的定量研究
Quantitative study of two- and three-dimensional strong localization of matter waves by atomic scatterers
摘要：
我们研究了三维和二维系统中原子物质波在由钉扎在晶格节点上的原子所产生的无序势场中的强局域化。物质波的局域化长度，局域态的密度，和能量迁移率边缘的发生（对于3D系统），数值研究作为原子物质波和钉扎原子之间的有效散射长度的函数。探讨了正、负物质波能量。有趣的功能的状态密度被发现在负能量，在束缚态密度的系统中的最大值可以解释在束缚态的物质波原子与几个钉扎原子散射。在3D中，我们发现了多达三个迁移率边缘的证据，一个在正能量，两个在负能量，后者对应于扩展和本地化的束缚态之间的过渡。在2D中，没有发现迁移率边缘，并观察到在高能量的本地化长度的快速指数状增加。
英文摘要：
We study the strong localization of atomic matter waves in a disordered potential created by atoms pinned at the nodes of a lattice, for both three-dimensional (3D) and two-dimensional (2D) systems. The localization length of the matter wave, the density of localized states, and the occurrence of energy mobility edges (for the 3D system), are numerically investigated as a function of the effective scattering length between the atomic matter wave and the pinned atoms. Both positive and negative matter wave energies are explored. Interesting features of the density of states are discovered at negative energies, where maxima in the density of bound states for the system can be interpreted in terms of bound states of a matter wave atom with a few pinned atomic scatterers. In 3D we found evidence of up to three mobility edges, one at positive energies, and two at negative energies, the latter corresponding to transitions between extended and localized bound states. In 2D, no mobility edge is found, and a rapid exponential-like increase of the localization length is observed at high energy.
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。
