Quantum entanglement and topological order

Algebraic topology
Quantum entanglement
Quantum state
Topological invariants
  • 2 – 6 July 2019

  • Room G25, G/F., Science Centre (Charles Kao Building), The Chinese University of Hong Kong, Shatin

Quantum entanglement and topological order

Algebraic topology
Quantum entanglement
Quantum state
Topological invariants

This five-day summer course provides talented young postgraduate students and postdoctoral scholars with an interest in quantum entanglement and topological order an opportunity to learn about the latest advances through formal and informal interactions between the participants and leading experts in the field.

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 realised 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 patters 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.

More details please see: http://www.phy.cuhk.edu.hk/events/croucher-summer-course-2019/.

Course directors

Dr Zhengcheng Gu 顧正澄

Associate Professor at The Chinese University of Hong Kong

Co-director(s)

Professor Xiao-Gang Wen

Cecil and Ida Green professor at The Massachusetts Institute of Technology

About your speakers

Maissam Barkeshli

University of Maryland

Meng Cheng

Yale University

Zhengcheng Gu

Chinese University of Hong Kong

Yang Qi

Fudan University

Norbert Schuch

Max Planck

Xie Chen

California Institute of Technology

Bei Zeng

More summer courses

© 2023 Croucher Foundation