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Chinese Physics Letters

Quantum Entanglement of Two Atoms Inside an Optical Cavity

Shangbin Li, Jing‐Bo Xu

Published Jun 17, 2003• 12 citations
Publisher

Abstract

We investigate the system, which consists of two two-level atoms confined in a linear trap which has been surrounded by an optical cavity, with the Milburn model of intrinsic decoherence, and find an explicit analytical solution of the Milburn equation. The entanglement between the two atoms is then calculated by making use of concurrence. The influence of intrinsic decoherence on the entanglement is also discussed.

DOI
10.1088/0256-307x/20/7/304

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We investigate the system, which consists of two two-level atoms confined in a linear trap which has been surrounded by an optical cavity, with the Milburn model of intrinsic decoherence, and find an explicit analytical solution of the Milburn equation. The entanglement between the two atoms is then calculated by making use of concurrence. The influence of intrinsic decoherence on the entanglement is also discussed.
In the consideration of Milburn model of intrinsic decoherence,we investigate the entanglement between two two-level atoms interacting with a Fock state of single-mode quantized radiation field.The reduced density matrix of the atom system is given explicitly.Due to the intrinsic decoherence,the entanglement of the atoms will decrease as the evolution of the system.And finally,the atoms system will approach a stationary state which the stationary entanglement depends on the initial states of the field and the atoms.Here,the entanglement is calculated by making use of the concurrence.
We investigate the effect of dipole-dipole interaction on the intrinsic decoherence of a system which consists of two two-level atoms and an optical cavity. The entanglement of the system is calculated by making use of concurrence. Our results show that the appropriate choice for the coupling constant Ω of dipole-dipole interaction can restrain the intrinsic decoherence of the system. We also find a special phenomenon. No matter what the value of γ is, the concurrence of system slowly increases and cannot exceed 0.71 when Ω = 1.
How the mean photon number,the probability of excited state and intrinsic decoherence coefficient influence the time evolution of entanglement is unknown,when a single-mode quantized optic field and a two-level atom coupling system is governed by Milburn equation.The Jaynes-Cummings model is considered.A lower bound of concurrence is proposed to calculate the entanglement.Simulation results indicate that the entanglement of system increases following the increasing of intrinsic decoherence coefficient or the decreasing of the mean photon number.Besides that,the entanglement of the system decreases,while the probability of the exited state increases from 0 to 0.1,and increases,while the probability of the exited state increases from 0.1 to 1.
Based on the concept of concurrence, we have investigated the entanglement dynamics of two two-level atoms coupled to a single-mode cavity field with inhomogeneous couplings. We find that, for some initial states, the inhomogeneous couplings not only induce but also enhance the entanglement in the process of its evolution. In addition, considering the intrinsic decoherence proposed by Milburn, we also find that a proper value of inhomogeneous couplings can enhance the stationary entanglement, and as a result, the destructive effect of intrinsic decoherence on entanglement can be moderated by the inhomogeneous couplings.