This book presents the essential ideas of coherent states and provides researchers and graduate students with the necessary tools for various applications of generalized coherent state theory. These applications include areas such as quantum information, quantum phase transitions, quantum many-body systems, quantum chaos, and quantum open systems. The aim of the book is to show how coherent states can be applied to an extensive range of physical systems. The authors provide many exercises at the end of each chapter to enhance the mastery of the subject. Throughout the first seven chapters, only an understanding of elementary quantum mechanics is assumed, and for the last six chapters, some basic knowledge of group theory is requested to follow the arguments.
Introduction.- Coherent States of Harmonic Oscillator.- Schrodingers Cat States.- Coherent State of Fermions.- Coherent State Path Integrals.- Spin Coherent States.- Squeezed Coherent States.- Examples of Coherent States beyond SU(2).- Lie Group Generalizations of Coherent States.- Quantum Many-Body Systems.- Quantum Phase Transitions.- Quantum Chaos.- Open Quantum Systems.
Chon-Fai Kam received his Ph.D. degree in theoretical condensed matter physics from the Chinese University of Hong Kong in 2018. From 2019 to 2021, he was a Postdoc Fellow at the Department of Mathematics of University of Macau. Since 2022, he has been a Postdoc Fellow at the Department of Physics of University at Buffalo. His research interests include squeezed coherent states, multipartite entanglement, quantum information, quantum phase transition, non-Hermitian systems, and non-adiabatic transitions. He developed a nonlinear quantum mechanics approach to interacting quantum systems, a quantum information approach to quantum phase transitions, and the Majorana star representation for general multipartite entangled states. He is now working on enhanlCh
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