Nonlinear Adiabatic Evolution of Quantum Systems

Jie Liu is a professor at the Institute of Applied Physics and Computational Mathematics, Beijing. He obtained his bachelor’s and doctoral degrees in 1986 and 1991, both from Nanjing University. Dr. Liu has an international reputation in many interdisciplinary scientific and technical areas such as adiabatic quantum theory, cold-atom physics, strong-field physics, and laser-driven inertial confinement fusion. He has led more than 15 national research projects, including projects of the National High Technology Research and Development Program, the National Key Basic Research and Development Program, and the National Natural Science Foundation of China, authored 4 monographs, and published over 200 peer-reviewed journal articles with more than 3500 citations. Sheng-Chang Li is an associate professor at Xi’an Jiaotong University, Xi’an. He obtained his bachelor’s degree in 2006 from Northwest Normal University and his doctoral degree in 2012 from the Graduate School, China Academy of Engineering Physics. He has been working on nonlinear dynamics and quantum adiabatic theory of complex systems such as cold atoms, Bose-Einstein condensation, and plasmas. He has led more than 5 scientific research projects, including projects of the Natural Science Foundation of China, the Natural Science Fundamental Research Program of Shaanxi Province of China, and the Fundamental Research Funds for the Central Universities of China. He has published over 30 peer-reviewed journal articles, which have been cited more than 300 times in total and his personal research H-index is 11.Li-Bin Fu is a professor of the Department of Physics, Graduate School of China Academy of Engineering Physics. He obtained his bachelor’s and doctoral degrees in 1994 and 1999, both from Lanzhou University. He was a postdoctoral scholar (1999-2001), associate professor (2001-2005), and professor (2005-2017) at the Institute of Applied Physics and Computational Mathematics, Beijing. He was an Alexander von Humboldt Scholar between 2003 and 2004 at the Max Plank Institute for Physics of Complex Systems in Germany. Dr. Fu has achieved many distinctive and well-recognized academic accomplishments in strong-field physics and in quantum physics, and published over 150 peer-reviewed journal articles. Di-Fa Ye is an associate professor at the Institute of Applied Physics and Computational Mathematics, Beijing. He obtained his bachelor’s degree in 2005 from Xiamen University and his doctoral degree in 2011 from the Graduate School, China Academy of Engineering Physics. He was an Alexander von Humboldt Scholar between 2011 and 2012 at the Max Plank Institute for Nuclear Physics in Germany. His main research interest covers cold-atom physics, strong-field physics and attosecond optics. He has published 30 peer-reviewed journal articles, which have been cited over 600 times in total.

“The book represents an almost exhaustive investigation of some very actual problems in non-linear adiabatic evolution of quantum systems. … It is expected to be a very useful tool for anybody working in the area of nonlinear quantum physics, from graduate students to scientific researchers.” (Alex B. Gaina, zbMATH 1405.81009, 2019)

• Introduction to adiabatic evolution.- Nonlinear adiabatic evolution of quantum systems.- Quantum-classical correspondence of an interacting bosonic many-body system.- Exotic virtual magnetic monopoles and fields.- Applications of nonlinear adiabatic evolution.