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Journal of Physics B Atomic Molecular and Optical Physics

Multipartite entanglement dynamics and transfer in double and triple Tavis–Cummings models

Kwang-Il Kim, Myong Chol Pak, Jang Su Kim, Jong Chol Kim, Yong-Hae Ko, Hak Chol Pak

Published May 13, 2021• 2 citations
Publisher

Abstract

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.

DOI
10.1088/1361-6455/ac00c6

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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.
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.
A double Tavis-Cummings model (DTCM) is developed to simulate the entanglement dynamics of realistic quantum information processing where two entangled atom-pairs AB and CD are distributed in such a way that atoms AC are embedded in a cavity a while BD are located in another remote cavity b .T he evolutions of different types of initially shared entanglement of atoms are studied under various initial states of cavity fields. The results obtained in the DTCM are compared with that obtained in the double Jaynes- Cummings model (DJCM) (M. Yonac, T. Yu, J.H. Eberly, J. Phys. B40, S45 (2007)) and an interaction strength theory is proposed to explain the parameter domain in which the so-called entanglement sudden death occurs for both the DTCM and DJCM.
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.
In this paper, we study the entanglement in a five qubit model. For this purpose, we consider two non-interacting systems A and B which are correlated together initially. A is a t wo atoms Tavis-Cu mmings system and B is a Jaynes-Cummings System. By choosing a convenient initial condition which shows the initially correlation, our total system (A plus B) become a system which consist of five qubits. There are ten pairwise concurrences which we must calculate. We show that initially non-entangled qubits become entangled by passing time, the process which may be interpreted as entanglement transfer. We also show that our model in special cases become two-qubit and three-qubit models and analyze entanglement in these special cases.