Entanglement sharing in the Tavis-Cummings model

Tracey E. Tessier; Ivan H. Deutsch; Aldo P. Delgado

doi:10.1117/12.487324

4 August 2003 Entanglement sharing in the Tavis-Cummings model

Tracey E. Tessier, Ivan H. Deutsch, Aldo P. Delgado

Proceedings Volume 5105, Quantum Information and Computation; (2003) https://doi.org/10.1117/12.487324
Event: AeroSense 2003, 2003, Orlando, Florida, United States

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 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.

Citation Download Citation

Tracey E. Tessier, Ivan H. Deutsch, and Aldo P. Delgado "Entanglement sharing in the Tavis-Cummings model", Proc. SPIE 5105, Quantum Information and Computation, (4 August 2003); https://doi.org/10.1117/12.487324

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