The Jaynes-Cummings model and its descendants

TL;DR

This paper reviews the Jaynes-Cummings model's fundamental role and diverse applications across quantum physics, emphasizing its theoretical and experimental significance in fields like quantum optics, condensed matter, and quantum information science.

Contribution

It provides a comprehensive, accessible overview of the JC model's formalism, applications, and evolution, connecting theory with experimental developments across multiple disciplines.

Findings

The JC model underpins many quantum technologies.

It has broad applicability in atomic, solid-state, and quantum information systems.

The model's formalism is versatile and foundational for modern quantum research.

Abstract

The Jaynes-Cummings (JC) model has been at the forefront of quantum optics for almost six decades to date, providing one of the simplest yet intricately nonlinear formulations of light-matter interaction in modern physics. Laying most of the emphasis on the omnipresence of the model across a range of disciplines, this monograph brings up the fundamental generality of its formalism, looking at a wide gamut of applications in specific physical systems among several realms, including atomic physics, quantum optics, solid-state physics and quantum information science. When bringing the various pieces together to assemble our narrative, we have primarily targeted researchers in quantum physics and quantum optics. The monograph also comprises an accessible introduction for graduate students engaged with non-equilibrium quantum phase transitions, quantum computing and simulation, and quantum many-body physics. In that framework, we aim to reveal the common ground between physics and applications scattered across literature and different technological advancements. The exposition guides the reader through a vibrant field interlacing quantum optics and condensed-matter physics. All sections are devoted to the strong interconnection between theory and experiment, historically linked to the development of the various modern research directions stemming from JC physics. This is accompanied by a comprehensive list of references to the key publications that have shaped its evolution since the early 1960s. Finally, we have endeavored to keep the presentation of such a multi-sided material as concise as possible, interspersing continuous text with various illustrations alongside an economical use of mathematical expressions.