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Journal of Optics B Quantum and Semiclassical Optics

The entanglement of two dipole–dipole coupled atoms in a cavity interacting with a thermal field

Leisa Lopes Aguiar, Pablo Parmezani Munhoz, A. Vidiella-Barranco, José Antonio Roversi

Published Nov 23, 2005• 44 citations
Publisher

Abstract

We investigate the entanglement properties of a system of two dipole–dipole coupled two-level atoms resonantly interacting with a 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. We find that, despite the destructive effect of thermal noise, the dipole interaction yields a considerable amount of entanglement between the two atoms.

DOI
10.1088/1464-4266/7/12/049

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We investigate the entanglement properties of a system of two dipole–dipole coupled two-level atoms resonantly interacting with a 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. We find that, despite the destructive effect of thermal noise, the dipole interaction yields a considerable amount of entanglement between the two atoms.
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.
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.
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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.