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 recent advancement of topological phases of quantum matter in interacting boson and fermion systems, such as symmetry enriched topological phases, crystalline topological phases. We will also briefly introduce various duality relations in quantum field theory conjectured from topological aspects. Moreover, we will also provide very basic introductions of measurement induced quantum phases transitions and quantum chaos 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 Zhengcheng Gu, The Chinese University of Hong Kong, Hong Kong
Professor Xiaogang Wen, Massachusetts Institute of Technology, USA
Lecturers
Professor Zhen Bi, The Pennsylvania State University, USA [Videos: Talk 1 | Talk 2]
Professor Zhengcheng Gu, The Chinese University of Hong Kong, Hong Kong [Videos: Talk 1 | Talk 2]
Professor Biao Lian, Princeton University, USA [Videos: Talk 1 | Talk 2]
Professor Zheng-Xin LIu, Renmin University of China, China [Videos: Talk 1 | Talk 2]
Professor Didier Poilblanc, CNRS and University of Toulouse, France [Videos: Talk 1 | Talk 2]
Professor Chenjie Wang, The University of Hong Kong, Hong Kong [Videos: Talk 1 | Talk 2]
Professor Chong Wang, Perimeter Institute for Theoretical Physics, Canada [Videos: Talk 1 | Talk 2]
Venue
Room L2, Science Centre, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong
Financial Support
International student's air ticket and all their local expenses (acommodation and meals) will be covered.
Sponsor
For Enquiries
Please contact Ms. P. Y. Ho at pyho@phy.cuhk.edu.hk.
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