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Entanglement of two dipole-coupled qubits interacting with a detuned cavity thermal field

Eugene K. Bashkirov

Published Jun 3, 2019• 3 citations
Publisher

Abstract

This paper studies the entanglement properties in a system of two dipole-coupled natural or artificial two-level atoms not-resonantly interacting with an intensive single-mode thermal field for coherent initial atomic states. The results show that the entanglement is weaken due to the initial atomic coherence for model with detuning in contrast to the model with resonant atom-field interaction. For non-dissipative model under consideration the detuning results also in decreasing of the atom-atom entanglement in time for separable initial atomic state and intensive cavity thermal field.

DOI
10.1117/12.2522476

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In this article, author investigated the dynamics of entanglement of two dipole-coupled natural or artificial two-level atoms (qubits) interacting nonresonantly with the intensive one-mode cavity thermal field. Author found an exact solution of the quantum Liouville equation for the full density matrix of the system two atoms + field mode for a coherent initial state of atoms in the dressed states representation. The full system density matrix is used to calculate the two-atom reduced density matrix and to calculate the quantitative criterion for atom-atom entanglement ‒ negativity. The results of computer simulation of the time dependence of negativity showed that in the case of a model with nonresonant interaction, the presence of initial atomic coherence leads to a significant decrease in the maximum degree of atomic entanglement, in contrast to the model with resonant interaction of atoms and a field. For the resonance model, the initial atomic coherence greatly enhances the degree of atomic entanglement.
In this paper, we investigated the entanglement dynamics between two two-level natural or artificial atoms interacting with a thermal one-mode field of lossless cavity taking into account the direct dipole-dipole and Ising coupling. We obtained the exact solution for time-dependent density matrix and calculated atom-atom negativity. The results showed that for dipole-uncoupled atoms and resonant atoms-field interaction the entanglement greatly enhances with Ising coupling increasing. In contrast, for model with non-zero detuning the Ising coupling has almost no effect on the degree of entanglement. We also derived that for resonant interaction and dipole-coupled atoms the anti-Ferromagnetic coupling produces a slightly higher degree of entanglement in comparison with the Ferromagnetic coupling. For entangled initial atomic states we obtained that Ising coupling interaction has effect on entanglement behavior only for a model with large detuning values.
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In the present paper we studied the entanglement of a quantum system consisting of two dipole-coupled two-level atoms, one of which interacts with one-mode thermal field in a lossless cavity, and another is outside a cavity. We obtained the analytical expression of the atom-atom negativity for separable initial atomic state and investigated the influence of a detuning between the atom and the field frequencies and direct dipole-dipole interaction on an atom-atom entanglement. We derived that detuning might cause high atom-atom entanglement in the presence of the dipole-dipole interaction. We also showed that the detuning and dipole-dipole interaction are an effective mechanisms for control and operation of the atomic entanglement.
We investigate the entanglement properties of a system of two dipole-dipole coupled two-level atoms resonantly interacting with a two-mode thermal field in a high- Q cavity. We obtain the evolution operator for this system in an analytical form, and use it to evaluate the atom-atom entanglement through the calculation of the negativity. The results show that the atom-atom entanglement is dependent on cavity field intensity and dipole interaction strength. We find that the dipole interaction can produce a considerable amount of entanglement between the two atoms.
We have investigated the entangleable properties of two two-level atoms inside the dissipative cavity coupled to a single-mode radiation field under the big detuning,and discussed the influence of the initial state of the two atoms,the cavitity decay constant and the mean photon number on the entanglement degree.It have shown that if the two atoms are initially in the exicited or the ground states,they will be separate always;if the two atoms are initially in the coherent superposition of the excited and the ground states,the influence of cavity dissipation on the entanglement degree will vanish gradually with the time evolution,but the dipole-dipole interaction can enhance the entanglement degree.