Introduction
In the past three decades, a new class of highly entangled quantum matter have been intensively studied both theoretically and experimentally. A novel concept – topological order was proposed to describe the essential physics behind highly entangled quantum matter. In particular, it has been realized that the entanglement pattern is the essential feature of topological phases. We define that a state only has "short-range entanglement" if and only if it can be transformed into an un-entangled state (i.e. a direct product state) through a local unitary evolution; otherwise, it has "long-range entanglement". Thus (intrinsic) topological orders can be defined as the equivalent classes of local unitary evolutions, or in other words, the patterns of "long-range entanglement".
Very recently, the concept of many body quantum entanglement even leads to revolutionary impact in many other areas of modern physics, such as quantum computation and quantum geometry. In this lecture series, we will systematically describe the classification scheme and mathematical foundation of topological orders in interacting boson and fermion systems. Moreover, we will also provide very basic introductions of quantum computation and quantum geometry from the aspects of quantum entanglement.
Course Director
Professor Zhengcheng Gu, The Chinese University of Hong Kong, Hong Kong
Course Co-Director
Professor Xiaogang Wen, Massachusetts Institute of Technology, USA
Organizing Committee
Professor Xiaogang Wen, Massachusetts Institute of Technology, USA
Professor Zhengcheng Gu, The Chinese University of Hong Kong, Hong Kong
Lecturers
Professor Maissam Barkeshli, University of Maryland, USA - Lecture 1 Video | Lecture 2 Video
Professor Xie Chen, California Institute of Technology, USA - Lecture 1 Video | Lecture 2 Video
Professor Meng Cheng, Yale University, USA - Lecture 1 Video | Lecture 2 Video
Professor Zhengcheng Gu, The Chinese University of Hong Kong, Hong Kong - Lecture 1 Video | Lecture 2 Video
Professor Yang Qi, Fudan University, China - Lecture 1 Video | Lecture 2 Video
Professor Norbert Schuch, Max-Planck Institute of Quantum Optics, Germany - Lecture 1 Video | Lecture 2 Video
Professor Bei Zeng, Guelph University, Canada - Lecture 1 Video | Lecture 2 Video
Venue
Room 103, Y. C. Liang Hall, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong
Sponsor
For Enquiries
Please contact Ms. P. Y. Ho at pyho@phy.cuhk.edu.hk.
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