In this paper we study the interaction between two qutrits ([Formula: see text]-type three-level atoms) with a two-mode field in a high quality cavity, considering the field-field (F-F) correlation and dipole-dipole (D-D) interaction. By defining a Hamiltonian corresponds to D-D interaction related to the two three-level atoms, we introduce a generalized Hamiltonian of Jaynes-Cummings model for the desired system and then the associated Schrödinger equation is solved. Finally, by achieving the reduced density matrix and then the linear entropy as a criterion for the entanglement, we investigate the influence of the F-F and D-D coupling on the degree of entanglement of the system. Our results show that there exists specific initial superposition of atomic states wherein the stable value of linear entropy is accessible. In addition, in such cases the F-F correlation and D-D interaction have not considerable effect on the entropy. Moreover, in general, as we have shown, the entanglement can be tuned appropriately by choosing the parameters involve in the model.

In this paper we develop the teleportation scheme in [Zheng in Phys Rev A 69, 064302, 2004], in the sense that, we work in the strong atom-field coupling regime, wherein the rotating wave approximation (RWA) is no longer valid. To achieve the purpose, a scheme consisting of a qubit interacting with a single-mode quantized field is described via the Rabi model (counter rotation terms are taken into account). Our first aim is to teleport an unknown atomic state of a qubit (which interacts with the quantized field in a cavity) to a second qubit (exists in another distant cavity field), beyond the RWA and without Bell-state measurement (BSM) method. In the continuation, in a similar way, we teleport an unknown state of a single-mode field, too. In fact, it is shown that, in this regime, after applying some particular conditions, containing the interaction time of atom-field in the cavities, adjusting the involved frequencies, as well as the atom-field coupling in the model, if a proper measurement is performed on the state of the first qubit (the related field in the cavity), the unknown states of the qubit (field) can be teleported from the first qubit (cavity field) to the second qubit (cavity field), appropriately. We show that, in both considered cases, the teleportation protocol is successfully performed with the maximum possible fidelity, 1, and the acceptable success probability 0.25.

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