Entanglement Dynamics in the Jaynes-Cummings Model

Abstract

Entanglement lies at the heart of quantum technologies, enabling quantum computation, secure communication, and ultra-precise sensing, and it arises naturally in systems of atoms interacting with light. In this work, we analyze the entanglement dynamics resulting from the interaction between a two-level atom and a single quantized mode of the electromagnetic field, described by the paradigmatic Jaynes–Cummings Hamiltonian. By preparing the system initially in different field states, including Fock, coherent, and squeezed vacuum states, we compute the corresponding time evolution and quantify the entanglement generated between atom and light using the concept of bipartite entanglement entropy. Our results show how photon statistics influence both the generation and the stability of entanglement.