Deep strong coupling of quantum mechanical motional modes with ultracold atoms in an optical lattice potential

光学晶格势中的超冷原子为物理实现和不同物理域效应的量子模拟提供了一个极好的系统。例子包括固态物理学中已知的现象的演示，如莫特-隔离器跃迁，或相对论波动方程的预测。在准备工作中，我们的团队成功地证明了在可变色散的光学晶格中使用超冷原子的相对论克莱因隧道，原子量子棘齿，以及最近在光学晶格中使用原子的拓扑保护边缘状态的空间解析。这些实验的核心是我们研究小组可变光学多光子晶格的发展。基于这些初步工作，我们计划利用光学晶格势中的超冷原子来开发量子力学模式的极强耦合状态，其中模式之间的耦合强度超过其本征频率。在理论方面，我们的实验工作得到了毕尔巴鄂巴斯克大学E. Solano教授的理论小组的支持，他们共同制定了计划实验过程的理论概念。在超冷原子系统中，我们计划通过实验证明深强耦合机制的新物理效应。

Ultracold atoms in optical lattice potentials represent an excellent system both for the physical implementation and for the quantum simulation of effects from different physical domains. Examples include the demonstration of phenomena known from solid-state physics, as the Mott-Isolator transition, or predictions of relativistic wave equations. In preparatory work, our group succeeded in demonstrating relativistic Klein tunneling with ultracold atoms in an optical lattice of variable dispersion, atomic quantum ratchets, and recently the spatial resolving of a topologically protected edge state with atoms in an optical lattice. Central to these experiments was the development of variable optical multi-photon lattices in our research group.Based on these preliminary works, we plan to exploit the regime of extremely strong coupling of quantum mechanical modes, in which the coupling strength between the modes exceeds their eigenfrequencies, using ultracold atoms in optical lattice potentials. On the theoretical side our experimental work is supported by the theory group of Prof. E. Solano, University of the Basque Country in Bilbao, with which the theoretical concept for the planned experimental procedure was jointly developed. With the ultracold atom system, we plan to experimentally demonstrate novel physics effects of the deep strong coupling regime.