Tripartite Entanglement Dynamics in the System Consisting of Three Damping Jaynes-Cummings Models
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Tripartite Entanglement Dynamics in the System Consisting of Three Damping Jaynes-Cummings Models Dao-Ming Lu 1 Received: 13 March 2020 / Accepted: 11 August 2020/ # Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract
In this paper we consider the situation that three identical two-level atoms resonantly interact with three distant single-mode optical cavities via a one-photon hopping separately, and there exist the phenomena of atom-decay and cavity-decay. Under JaynesCummings model the time evolution of the system is given. The tripartite negativity is used to quantify the degree of tripartite entanglement. The tripartite entanglement dynamics among atoms and among cavities are studied. The influences of the atom-decay and the cavity-decay on tripartite entanglement are discussed. The results obtained using the numerical method show that the tripartite entanglement among atoms and that among cavities all display damping oscillation behavior. On the other hand, as the atomic decay rate increases, their decays are accelerated, and so do they with the increase of cavity decay rate. Keywords Quantum optics . Three damping Jaynes-Cummings models . Two-level atom . Tripartite entanglement
PACC: 42.50, 03.65 PACS: 03.65.Ud, 42.50.Dv
1 Introduction Jaynes-Cummings model (JCM) is an ideal model describing a two-level atom interacting with a single-mode of light field [1]. It is exactly solvable under the rotating wave approximation, and it exhibits various types of the nonclassical effects, such as revival-collapse phenomenon, sub-
* Dao-Ming Lu [email protected]
1
College of Mechanic and Electronic Engineering, Wuyi University, Wuyishan 354300, People’s Republic of China
International Journal of Theoretical Physics
Poissonian statistics, and squeezing [2–4]. With the deepening of research, JCM has been extended double JCM and three JCM [5, 6]. For example, Bougouffa et al. studied the effect of retardation in the atom-field interaction on entanglement in a double Jaynes-Cummings system [5]. Qiang et al. applied multipartite concurrence to investigate entanglement properties of three JCM systems [6]. Quantum entanglement is not only an essential ingredient for testing quantum mechanics against local hidden variable theories, but also a key resource for the implementation of quantum information processing and quantum computation tasks, such as quantum teleportation, quantum key distribution, and so on [7–9]. So far, the investigation on the entanglement between the two subsystems is relatively mature, and the measurement methods on the entanglement between two subsystems are established, such as the concurrence and negativity [10, 11]. In the last two decades, researches on entanglement have been extended to multipartite entanglements. It has been shown that multipartite entanglements have many advantages over the two-particle entanglements in their applications in quantum cloning, teleportation and dense coding [12–14]. So the investigations on multipartite entanglement have attracted much a
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