摘要

For a long time, exactly solvable models had been considered to be mathematical toy models. However, such an impression has been drastically changed over the past two decades due to advanced quantum engineering of genuine many-body systems using ultracold atoms and solid material synthesis. In particular, trapping and cooling atoms in one-dimensional (1D) optical waveguides have provided remarkable realisations of exactly solved models in the lab. In turn, exactly solvable Yang–Baxter systems, ranging from the Heisenberg spin chains to the Yang-Gaudin Fermi gas, Hubbard model, Bardeen-Cooper-Schrieffer model and Kondo problems, etc., have provided rigorous understanding of novel many-body phenomena. In this talk, I will briefly review developments of exactly solvable models and describe some of these fundamental mathematical models with the power of quantum integrability. Finally, I will discuss their relevance to recent and future experiments on quantum liquids, quantum criticality, quantum transport and quantum technology, displaying the essence of quantum many-body physics.

主讲人 管习文

管习文，1998年获吉林大学博士学位。1998-2002年期间在德国和巴西从事博士后研究。2003-2012年期间在澳大利亚国立大学（ANU）物理与工程研究院任研究员、高级研究员，2012年10月任中科院精密测量科学与技术创新研究院（前武汉物理与数学研究所）研究员，自2016年起任ANU荣誉教授，同时是美国哈佛大学、洛斯阿拉莫斯国家实验室等世界一流研究机构的高级访问学者，清华大学高等研究院客座教授，香港中文大学杨振宁访问学人。现任《Journal of Physics A》的执行编委及IUPAP C18数学物理委员。管习文长期从事冷原子少体和多体物理系统和自旋系统的严格解研究，取得了一系列在国际上颇具影响力的研究成果。 至今发表140余篇SCI论文，包括《Science》、《Review of Modern Physics》、《Report on Progress in Physics》、《Advance in Physics》、《Nature》子刊、《National Science Review》、《Physical Review Letters》等。

海报 | 周润杰

排版 | 郭悠然

审核 | 王小芳 姜照卿