报告题目：The Effectiveness ofMathematical Control Theory in Experimental Quantum Physics

报告人：张国峰 副教授、博士生导师

报告时间：2023年9月21日14:40

报告地点：电气楼113

报告对象：感兴趣的教师、研究生、本科生

主办单位：必威

报告人简介：

Bio. Guofeng Zhang received his B.Sc. degree and M.Sc. degree from Northeastern University, Shenyang, China, in 1998 and 2000 respectively. He received a Ph.D. degree in Applied Mathematics from the University of Alberta, Edmonton, Canada, in 2005. During2005-2006, he was a Postdoc Fellow in the Department of Electrical and Computer Engineering at the University of Windsor, Windsor, Canada. He joined the School of Electronic Engineering of the University of Electronic Science and Technology of China, Chengdu, Sichuan, China, in 2007. From April 2010 to December 2011 he was a Research Fellow in the School of Engineering of The Australian National University. He joined the Hong Kong Polytechnic University in December 2011 and is currently an Associate Professor in the Department of Applied Mathematics. His research interests include quantum information, quantum control, quantum algorithms, and tensor computation. He is an Associate Editor of IET Control Theory and Applications, 2015 IEEE Multi-Conference on Systems and Control, Sydney, Australia, September 21-23, 2015, the Manage Guest Editor for the Special Issue on Quantum Control and Quantum Machine Learning for Journal of The Franklin Institute and Guest Associate Editor of the International Journal of Bifurcation and Chaos.

报告内容：

The Kalman canonical form is a standard result in classical linear systems theory. In this talk, we discuss the Kalman canonical form for quantum linear control systems. Specifically, we show how this structural decomposition can be used to investigate decoherence-free modes, quantum non-demolition variables, and back-action evading measurements in quantum linear systems. The proposed theory will be demonstrated by several experiments from quantum optics and opto-mechanical systems, including:

1. Optomechanical dark mode, Dong et al., Science, 338:609--1613, 2012.

2. Quantum backaction evading measurement of collective mechanical modes, Ockeloen-Korppi, et al., Physical Review Letters, 117:140401, 2016.

3. Quantum mechanics–free subsystem with mechanical oscillators, de Lepinay, et al., Science 372:625–629, 2021.

4. Light-mediated strong coupling between a mechanical oscillator and atomic spins 1 meter apart, Karg, et al., Science 369:174–179, 2020.

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