This Jaynes-Cummings Hamiltonian is used ubiquitously across the field of quantum optics, from quantum computing applications to fundamental physics experiments . For experimentalists and theorists alike, this well-established Hamiltonian is appealing due to its simplicity and intuitive physical interpretation. Eq. 58 can be broken down and interpreted in four parts: ĤM is the pure matter Hamiltonian, Ĥph is the pure light Hamiltonian, ωA 0 • µ eg σ † â represents absorption of a photon of energy ω, and ωA 0 • µ eg σâ † represents emission of a photon of energy ω. While in many cases this is a convenient and adequate Hamiltonian for weak coupling strengths, in chemically relevant coupling strengths (strong coupling and beyond), this Jaynes-Cummings Hamiltonian is no longer adequate.