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Communications in Theoretical Physics

Quantum Entanglement Dynamics of Two Atoms in Two Coupled Cavities

Rong‐Can Yang, Pengfei Zhang, Yanqiang Guo, Tiancai Zhang

Published Feb 1, 2012• 6 citations
Publisher

Abstract

Quantum entanglement dynamics for two atoms trapped in two coupled cavities is investigated. Numerical results show that the present of the two atomic excitations is mainly accounted for the entanglement-sudden-death (ESD) effect with the two cavities initially in the vacuum. The entanglement can also be controlled by the hopping rate and the imbalances between the two atom-cavity coupling rates.

DOI
10.1088/0253-6102/57/2/05

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Quantum entanglement dynamics for two atoms trapped in two coupled cavities is investigated. Numerical results show that the present of the two atomic excitations is mainly accounted for the entanglement-sudden-death (ESD) effect with the two cavities initially in the vacuum. The entanglement can also be controlled by the hopping rate and the imbalances between the two atom-cavity coupling rates.
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In this paper, the entanglement dynamics of two two-level atoms trapped in coupled cavities with a Kerr medium is investigated. We find that the phenomena of entanglement sudden death (ESD) and entanglement sudden birth (ESB) appear during the evolution process. The influences of initial atomic states, Kerr medium, and cavity—cavity hopping rate on the atom—atom entanglement are discussed. The results obtained by the numerical method show that the atom—atom entanglement is strengthened and even prevented from ESD with increasing cavity—cavity hopping rate and Kerr nonlinearity.
We study the dynamics of quantum steerability between two non-interacting atoms, each of which is trapped inside one of two coupled cavities. Compared with entanglement, quantum steerability manifests sudden birth and sudden death phenomenon during the time evolution. We find that the cavity decay plays a destruction role for both steerability and entanglement. It is also shown that the survival time as well as the maximal value of steerability are sensitive to the asymmetry of the cavities. Moreover, it is found the sudden death of steerability can be controlled by the hopping rate of the coupled cavities.
The atomic entanglement dynamics is studied in the double Jaynes-Cummings model composed of two coupled cavities.Effect of the cavity-cavity coupling constant A and the atomic initial states on entanglement sudden death(ESD) and entanglement sudden birth(ESB) is analysed.By studying the atomic concurrence,it was shown that when the atomic initial states are the first kind Bell-like states,ESD and ESB doesn't appear,coupling of the cavities can increase the atomic entanglement and entanglement occurs even the initial states are disentangled.When the atomic initial states are the second kind Bell-like states,the time intervals between the ESD and ESB,and whether the ESD occurs or not are controlled by the coupling constant A.The atomic entanglement can't be produced by the coupling between the cavities when the atomic initial states are disentangled and in the second kind Bell-like states.
In this paper, we study the effect of atom decay on the atomic tunneling and entanglement dynamics in an atom-cavity system. This system consists of an atom trapped in a double-well potential and a cavity that couples to the atom. The population of the atom in the left/right well and the dynamics of entanglement are calculated and discussed. We find that the tunneling behaves as a damping-oscillating function of time, and the entanglement between the internal and external degree of freedom of the atom exhibits entanglement sudden death (ESD).