标题： 量子晶体和腔体里里德伯极化子的劳克林液滴 显示英文标题

标题： Quantum Crystals and Laughlin Droplets of Cavity Rydberg Polaritons

摘要： 合成量子材料为在受控条件下探索量子多体物理和新物质状态提供了令人兴奋的机会。 特别是，它们提供了一种途径，将固态中的短长度尺度和大能量尺度替换为一个工程系统，该系统对系统哈密顿量具有更好的控制，更精确的状态制备和更高保真度的状态读出。 在这里，我们提出一个独特的平台来研究强相互作用光子的量子相。 我们介绍了通过操纵多模光学腔的几何结构来控制单个光子动力学的想法，并将其与最近建立的技术相结合，利用里德伯原子介导光子之间的强相互作用。 我们证明，这种方法会产生光的晶体状和分数量子霍尔态，从而开启了在光子材料中研究强关联量子多体物理的大门。 显示英文摘要

摘要： Synthetic quantum materials offer an exciting opportunity to explore quantum many-body physics and novel states of matter under controlled conditions. In particular, they provide an avenue to exchange the short length scales and large energy scales of the solid state for an engineered system with better control over the system Hamiltonian, more accurate state preparation, and higher fidelity state readout. Here we propose a unique platform to study quantum phases of strongly interacting photons. We introduce ideas for controlling the dynamics of individual photons by manipulating the geometry of a multimode optical cavity, and combine them with recently established techniques to mediate strong interactions between photons using Rydberg atoms. We demonstrate that this approach gives rise to crystalline- and fractional quantum Hall- states of light, opening the door to studies of strongly correlated quantum many-body physics in a photonic material.