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Chaos Solitons & Fractals

Dynamics of entanglement and non-classicality features of a single-mode nonlinear Jaynes–Cummings model

Lamia E. Thabet, Tarek M. El-Shahat, A. Abdel-Aty, Belal Sadiq Hamed Rabab’h

Published Jun 11, 2019• 11 citations
Publisher
DOI
10.1016/j.chaos.2019.05.038

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In this paper several non‐classical properties are described such as the entanglement of bipartite system in the multimode cavities, described by the Jaynes‐Cummings as well as the Tavis‐Cummings model. The modes are described quantum mechanically, which helps to bring out the non‐classical features emerging from the interaction of atoms with the cavity modes. Effects such as the growth of the magnitude of atomic entanglement with the increase of the cavity photon number, arising out of the intensity dependent atom‐cavity coupling lead to interesting dissimilarities from the case of entanglement generated by the standard Jaynes‐Cummings interaction. The dynamics of a single Rydberg atom in an n‐mode cavity are also described by oscillations at the rate of the interaction strength of the atom‐field interaction, Finally, we investigate the entanglement dynamics in the presence of cavity dissipation under single mode Tavis‐Cummings interaction. The atom‐photon interactions and the generation of entanglement mediated through them are expected to play an important role in possible future practical realizations in the field of quantum communications for various atom‐photon interaction models considered under single or multimode cavity.
We extend our earlier investigations ( Furuichi S and Abdel-Aty M 2001 J. Phys. A: Math. Gen. 34 6851 ) on the entanglement degree of a two-level atom to include any forms of nonlinearities of both the field and the intensity-dependent atom-field coupling. We present a derivation of the unitary operator within the frame of the dressed state approach, by means of which we identify and numerically demonstrate the region of parameters where significantly large entanglement can be obtained. The influences of the nonlinearity, Stark shifts and detuning on the degree of entanglement are examined. It is shown that features of the degree of entanglement are influenced significantly by the kinds of nonlinearity of the single-mode field. The model presented in this paper can be regarded as a generalization of the Jaynes-Cummings model.
Abstract In this paper, the entanglement dynamics of different subsystems such as atom–atom, atom–field and field–field with radiation field in squeezed coherent thermal states for the intensity-dependent double Jaynes–Cummings model (DJCM) and DJCM are investigated. The effects of squeezed and thermal photons on entanglement are examined, revealing their complementary roles in shaping the entanglement behavior in both models. One of the main features of the DJCM is the observation of entanglement sudden death for every subsystem. The effects of various interactions such as Ising interaction, single photon exchange interaction and dipole–dipole interaction (DDI) on entanglement dynamics are studied. The effects of detuning, Kerr-nonlinearity on the entanglement dynamics are investigated for every subsystem. It is noticed that proper choice of the interaction parameters associated with photon exchange interaction, DDI, detuning and Kerr-nonlinearity effectively remove entanglement deaths from the dynamics.