Coherent control of time-periodically forced matter waves

在意大利比萨的实验BEC小组和我们的Oldenburg理论小组共同进行的一项努力中，最近已经证明，“震动”频率在低千赫波段的光学晶格，为控制超冷原子的中观物质波的状态开辟了新的可能性；其中，超流体到莫特绝缘子跃迁的动态局域化和相干控制现象得到了证明。本项目的目的是从理论上探索在强制光受限中有效操纵和控制物质波的进一步选择，确定潜在的物理机制，并优化各自的控制协议。除了增强对量子多体动力学的理解之外，可能的结果包括可以用超冷原子“模拟”的固态模型系统的类别的显着扩大。此外，实现以前没有考虑过的量子多体动力学的新形式似乎是可行的。这项工作将再次与比萨的BEC小组密切互动，因此我们的结果的重要部分可以在这个项目的过程中进行实验测试。

In an effort undertaken jointly by the experimental BEC group in Pisa, Italy, and our Oldenburg theory group, it has recently been shown that “shaking” an optical lattice with frequencies in the low kHz-regime opens up new possibilities for controlling the state of a mesoscopic matter wave of ultracold atoms; among others, the phenomenon of dynamic localization and coherent control of the superfluid-to-Mott insulator transition have been demonstrated. The aim of the present project is to theoretically explore further options for efficient manipulation and control of matter waves in forced optical confinements, to identify the underlying physical mechanisms, and to optimize the respective control protocols. Besides an enhanced understanding of quantum many-body dynamics, the possible outcome includes a significant enlargement of the class of solid-state model systems which can be “simulated” with ultracold atoms. In addition, it appears feasible to realize new forms of quantum many-body dynamics which have not been considered before.The work will again be performed in close interaction with the BEC group in Pisa, so that essential parts of our results can be subjected to experimental tests already during the course of this project.