Dynamical entanglement in coupled optical cavities

TL;DR

This paper investigates the evolution of photonic states in coupled anharmonic cavities interacting with atoms, analyzing entanglement dynamics, spectral properties, and the potential creation of N00N states within the Jaynes-Cummings framework.

Contribution

It introduces a detailed analysis of dynamical entanglement in coupled anharmonic cavities with atom-photon interactions, highlighting the creation of N00N states.

Findings

Photon tunneling influences state evolution and entanglement.

Spectral density and transition amplitudes characterize the dynamics.

Dynamical creation of N00N states is demonstrated.

Abstract

We study the evolution of a photonic state in a coupled pair of anharmonic cavities and compare it with the corresponding system of two coupled harmonic cavities. The photons in the anharmonic cavities interact with a two-level atom and are described within the Jaynes-Cummings model. Starting from an eigenstate of the Jaynes-Cummings model with N photons, the evolution of this state in the presence of photon tunneling between the cavities is studied. We evaluate the spectral density, the dynamics of the return as well as the transition amplitudes and the probability for the dynamical creation of a N00N state.