Abstract
The dynamics of the quantum entropies of a system of two cavities coupled by an optical fiber, each of which contains a two-level atom interacting with a single electromagnetic field in addition to an external classical field, is investigated. The entirely Hamiltonian is simplified within two canonical transformations. Effective Hamiltonians in three different limiting regimes approximations: namely large strength of the optical fiber coupling (SOFC), large detunig, and comparable detuning and SOFC are derived. The distant successive atoms are respectively prepared in the quantum and ground states while all fields are prepared in their vacuum states. The analytical expressions for the solution of the Schrodinger equation in all are derived. The degree of entanglement (DEM) is studied by von Neumann atomic entropies: atom-atom DEM, 1st atom-(the rest subsystems), and , 2nd atom-(the rest subsystems). The influences of both the SOFC and the detuning on the evolutions of the DEM are analyzed. General conclusions reached are illustrated by numerical results.