A Quantum Gas Microscope for the Kagome lattice

我们提出发展新的光学晶格显微镜技术，并建立第一台Kagome晶格量子气体显微镜，以研究挫折，平带和新的强关联态的丰富物理。在过去的二十年中，光学晶格中的超冷原子已经成为研究周期势中相互作用粒子多体物理的干净和通用的模型系统。特别是量子气体显微镜能够以单点分辨率观察和操纵晶格气体。强烈的几何挫折可以阻止有序化并产生广泛的简并，从而实现新的强关联现象。典型的例子是Kagome晶格，在那里跳跃路径之间的破坏性干涉产生了一个完美的平带和非平凡的自旋液体状态。在这个项目中，我们将使用Mott绝缘体和负温度状态作为进入平带的网关，并探索玻色子，费米子，和玻色-费米混合物在Kagome晶格。我们将开发一种新的显微镜技术的基础上，例如。连续成像的亚晶格。这种技术可以直接适用于许多其他双色超晶格，提供访问关键的本地量，包括本地密度，自旋纹理，密度波动，和自旋相关性与单网站的分辨率。

We propose to develop novel microscopy technique for optical lattices, and to build the first Quantum Gas Microscope for the Kagome lattice in order to study the rich physics of frustration, flat bands, and novel strongly-correlated states.During the last twenty years, ultracold atoms in optical lattices have emerged as clean and versatile model systems to study the many-body physics of interacting particles in periodic potentials. In particular, Quantum Gas Microscopes enable the observation and manipulation of lattice gases with single-site resolution.Strong geometric frustration can prevent ordering and give rise to extensive degeneracies that enable novel strongly correlated phenomena. The paradigmatic example is the Kagome lattice, where destructive interferences between hopping paths give rise to a perfectly flat band and non-trivial spin liquid states.In this project, we will employ Mott insulators and negative temperature states as gateways into the flat band and explore the complex phase diagrams and non-equilibrium dynamics of bosons, fermions, and bose-fermi mixtures in the Kagome lattice.We will develop a novel microscopy technique based on e.g. the sequential imaging of sublattices. This technique can be directly adapted to many other bichromatic superlattices, providing access to crucial local quantities including local densities, spin textures, density fluctuations, and spin correlations with single-site resolution.