The Jaynes-Cummings model (JCM) is a theoretical model in quantum optics and originally developed in the 1960s to study fundamental aspects of non-relativistic light-matter interaction on the quantum level. The Jaynes-Cummings model is of great interest to atomic physics, quantum optics, solid-state physics and quantum information, both experimentally and theoretically. It also has applications in coherent control and quantum information processing.

The Jaynes-Cummings Model (JCM) has been at the forefront of modern physics as one of the simplest, yet intricately nonlinear, models of light-matter interaction. Focusing on the omnipresence of the JCM across a range of disciplines, this significantly updated and comprehensive review conveys to the reader the fundamental generality of its formalism, looking at a wide range of applications in specific physical systems and across disciplines including atomic physics, quantum optics, solid-state physics and quantum information sciences. An ideal reference for researchers in quantum physics and quantum optics, the book also comprises an accessible introduction for students engaged with non-equilibrium quantum phase transitions, quantum computing and simulation, quantum many-body physics, cavity, circuit and waveguide QED. With over 2000 references reaching up to 2024, the monograph aims to demonstrate the enduring relevance of the JCM, including a discussion on its pivotal role for the decades to come.

Jonas Larson is an Associate Professor in the Section of Quantum Optics and Matter at Stockholm University. He received his PhD degree in 2006 from the Royal Institute of Technology in Stockholm. This was followed by a two-year post-doc at ICFO in Barcelona and another two-year fellowship at NORDITA, before earning a young researchers grant from the Swedish Research Council to start his own research at Stockholm University. Today he pursues research in various topics of quantum optics, such as cavity/circuit QED, cold atomic gases, open quantum systems, and quantum critical models. He is a co-author of the book Conical Intersections in Physics: An Introduction to Synthetic Gauge Theories.

Themis(toklis) Mavrogordatos received the BS and MS degrees in electrical engineering and computer science from the National Technical University of Athens, Greece, in 2009, and the PhD degree in emission properties of dye-doped liquid crystal resonators from the University of Cambridge, UK, in 2014. Following two postdoctoral appointments at the University College London in optomechanics and circuit quantum electrodynamics, he worked as a PDRA with Jonas Larson at Stockholm University. He is currently pursuing further post-doctoral research in the group headed by M. Lewenstein at ICFO, Barcelona.