The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the omnipresence of the JCM across a range of disciplines, this 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, and quantum many-body physics. Key Features: Collects JCM physics and applications scattered across literature and different applications. The exposition guides the reader through a rich and appealing landscape interlacing quantum optics and condensed-matter physics. All chapters discuss theory and experiment, linked historically to the development of the various directions stemming from JC physics. This is accompanied by a thorough list of references to the key publications. The presentation is kept concise, while continuous text is interspersed with various illustrations and an economical use of mathematical expressions.