Some aspects of the entangled states generated through an atom–field interaction through the Jaynes–Cummings model are discussed. The separability and inseparability of these states are studied for different parameters of the model concerning the field and the atom. We calculated the minimum amount of entanglement contained in the inseparable state and compared it with the total correlation through the mutual entropy of the system. This entangled state is used in a teleportation procedure to send information from one place to another. The role played by the parameters of the Jaynes–Cummings model in the entanglement and teleportation is investigated.