Theory of interacting quantum many-body systems of atoms and photons

冷原子系综构成了构建光与物质之间量子界面的关键平台，这是从原子钟到量子信息处理的新兴量子技术的基础科学。近年来，纳米光子学的成功故事之一是人工制造的超颖表面，该超颖表面由通常亚波长尺寸的散射体的薄纳米结构膜形成，用于对光的操纵、检测和控制。利用冷原子的这种超颖表面的类似物可以通过将原子放置在二维平面阵列中来构造，例如，in optical光学lattices晶格.单层亚波长间隔的原子形成量子纳米光子表面，其中散射光介导强的合作相互作用。被紧密束缚的原子形成了一种特征良好的介质，其中每个原子都具有精确相同的共振频率和线宽，所有与原子相互作用的光都被发射回来而没有吸收，甚至大型阵列原则上也可以在单光子量子极限下运行。该项目旨在开发理论工具，用于分析原子和光的量子多体系统，并对其进行数值求解。然后，可以利用合作相互作用来开发光的量子光学操纵的应用。监督是通过会议和主管和学生之间的讨论进行大约每1-2周，或更频繁地当这些出现的特殊需要。

Cold atomic ensembles constitute a key platform for constructing quantum interfaces between light and matter that are the underpinning science for emerging quantum technologies from atomic clocks to quantum information processing. One of the success stories of nanophotonics in recent years has been artificially fabricated metasurfaces formed by thin nanostructured films of typically subwavelength-sized scatterers for the manipulation, detection, and control of light. Analogies of such metasurfaces utilizing cold atoms can be constructed by placing atoms in two-dimensional planar arrays, e.g., in optical lattices. A single layer of subwavelength-spaced atoms forms a quantum nanophotonic surface where scattered light mediates strong cooperative interactions. Tightly trapped atoms form a well-characterized medium where every atom has precisely the same resonance frequency and linewidth, all the light interacting with atoms is emitted back with no absorption, and even large arrays can in principle operate in a single-photon quantum limit.The project is to develop theoretical tools for analysing such quantum many-body systems for atoms and light, and to solve them numerically. Cooperative interactions can then be harnessed to develop applications for quantum-optical manipulation of light. The supervision is conducted by meetings and discussions between the supervisor and student approximately every 1-2 weeks, or more frequently when special needs for those arise.