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arXiv:quant-ph/0306015 · Physical Review A

Entanglement sharing in the two-atom Tavis-Cummings model

Tracey E. Tessier, Ivan Deutsch, A. Delgado, Ivette Fuentes

Published Dec 18, 2003• 129 citations
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Abstract

Individual members of an ensemble of identical systems coupled to a common probe can become entangled with one another, even when they do not interact directly. We investigate how this type of multipartite entanglement is generated in the context of a system consisting of two two-level atoms resonantly coupled to a single mode of the electromagnetic field. The dynamical evolution is studied in terms of the entanglements in the different bipartite partitions of the system, as quantified by the I tangle. We also propose a generalization of the so-called residual tangle that quantifies the inherent three-body correlations in our tripartite system. This enables us to completely characterize the phenomenon of entanglement sharing in the case of the two-atom Tavis-Cummings model, a system of both theoretical and experimental interest.

DOI
10.1103/physreva.68.062316

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Individual members of an ensemble of identical systems coupled to a common probe can become entangled with one another, even when they do not interact directly. We investigate how this type of multipartite entanglement is generated in the context of a system consisting of two two-level atoms resonantly coupled to a single mode of the electromagnetic field. The dynamical evolution is studied in terms of the entanglements in the different bipartite partitions of the system, as quantified by the I tangle. We also propose a generalization of the so-called residual tangle that quantifies the inherent three-body correlations in our tripartite system. This enables us to completely characterize the phenomenon of entanglement sharing in the case of the two-atom Tavis-Cummings model, a system of both theoretical and experimental interest.
Individual members of an ensemble of identical systems coupled to a common probe can become entangled with one another, even when they do not interact directly. We investigate how this type of multipartite entanglement is generated in the context of a system consisting of an ensemble of N two-level atoms resonantly coupled to a single mode of the electromagnetic field. In the case where N = 2, the dynamical evolution is studied in terms of the entanglements in the different bipartite divisions of the system, as quantified by the I-tangle. We also propose a generalization of the so-called residual tangle that quantifies the inherent three-body correlations in this tripartite system. This allows us to give a complete characterization of the phenomenon of entanglement sharing in the case of the two-atom Tavis-Cummings model. We also introduce an entanglement monotone which constitutes a lower bound on the I-tangle of an arbitrary bipartite system. This measure is seen to be useful in quantifying the entanglement in various bipartite partitions of the TCM in the case where N> 2, i.e., when there is no known analytic form for the I-tangle. Keywords: Entanglement, Entanglement-Sharing, Tavis-Cummings Model 1.
This paper studies the quantum entanglement of the Tavis-Cummings model for two steady identical two-level atoms interac-ting with a single-mode field. Whe n the field is vacuum and the two atoms stay in Einstein-Podolsky-Rosem entangle d state or disentangled state initially, we obtain that the system will evol ve to a three-body approximate W entangled state. The entanglement measure will change with the variation of system initial state, coupling coefficients, detuni ng degree and atomic population inversion. It should be noted that the atomic co upling coefficient exhibits the nonlinear effect and the entanglement measure os cillates periodically in accordance with atomic population inversion.
The quantum entanglement of the Tavis-Cummings model for two identical two-level atoms interacting with a single-mode field is considered.When the field is one photon and the two atoms stay in ground states initially,it is abtained that the system will evolve to a three-body approximate state.The result shows that every entanglement measure of the system will be reduced when atomic coupling coefficient is larger than coupling coefficient between field and atom,and the entanglement measure of atoms and the entanglement measure between two atoms with field will be reduced more quickly.Meanwhile,every entanglement measure periodic will be also shortened relevantly.
Abstract In this paper, we investigate the dynamics and transfer of multipartite entanglement via concurrence and three-tangle in a double and a triple Tavis–Cummings model (TCM). The results are compared with those of the double and triple Jaynes–Cummings model (JCM). We find that the dynamics and transfer of multipartite entanglement are dependent only on the initial entanglement type itself and not on model type for the double and triple TCM. For the triple TCM and the triple JCM we find that entanglement of a different type from the initial entanglement is created. Our work will further enrich the previous results for the JCM and the TCM.
The three-qubit entangled state in Tavis-Cummings model for two identically steady two-level atoms interacting with single mode field can be generated when the atom-field interaction is far from atom-atom interaction.By analyzing three-qubit entanglement of the system,we obtain that the entanglement of the system will change with the variation of system initial state,coupling coefficients between atom and field or atoms.Especially,when the initial state is special,the system will stay in W-entangled state.The necessary condition for generating W-state is that the coupling constant between two atoms is more less than that of between an atom and field.