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Acta Physica Sinica

The dynamics of the bipartite and tripartite entanglement in the three-qubit Dicke model

Mao Li-Jun, Yunbo Zhang

Published Nov 11, 2020• 0 citations
Publisher

Abstract

本文利用绝热近似方法和精确对角化方法研究三量子比特Dicke模型中的纠缠动力学. 处于两种典型的纠缠态GHZ态和W态上的量子比特在时间演化过程中与辐射光场发生强耦合作用, 在各种子系统间产生纠缠, 通过分析这些纠缠的演化特性发现初始GHZ态的三体纠缠鲁棒性比W态强, 这与旋波近似结论一致. 与旋波近似下结果不同的是, 两种态中任意一对量子比特间的纠缠都随时间演化到几乎为零, 而三体纠缠随时间周期演化, 且纠缠程度相对较强, 说明系统中的强耦合作用通过抑制量子比特中的对纠缠来支持三体纠缠.

DOI
10.7498/aps.70.20201602

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本文利用绝热近似方法和精确对角化方法研究三量子比特Dicke模型中的纠缠动力学. 处于两种典型的纠缠态GHZ态和W态上的量子比特在时间演化过程中与辐射光场发生强耦合作用, 在各种子系统间产生纠缠, 通过分析这些纠缠的演化特性发现初始GHZ态的三体纠缠鲁棒性比W态强, 这与旋波近似结论一致. 与旋波近似下结果不同的是, 两种态中任意一对量子比特间的纠缠都随时间演化到几乎为零, 而三体纠缠随时间周期演化, 且纠缠程度相对较强, 说明系统中的强耦合作用通过抑制量子比特中的对纠缠来支持三体纠缠.
The bipartite and tripartite entanglement in a three-qubit Heisenberg XY model with a nonuniform magnetic field is studied. There are two or four peaks in the concurrence of the bipartite entanglement when the amplitudes of the magnetic fields are differently distributed between the three qubits. It is very interesting to note that there is no tangle of tripartite entanglement between the three qubits when the amplitudes of the magnetic fields are varied. However, the variation of the magnetic field direction can induce the tangle. The tangle is periodic about the angle between the magnetic field and the z axis of the spin.
We present analytical solutions to three qubits and a single-mode cavity coupling system beyond the rotating-wave approximation (RWA). The zeroth-order approximation, equivalent to the adiabatic approximation, works well for arbitrary coupling strength for small qubit frequency. The first-order approximation, called the generalized rotating-wave approximation (GRWA), produces an effective solvable Hamiltonian with the same form as the ordinary RWA one and exhibits substantial improvements of energy levels over the RWA even on resonance. Based on these analytical eigensolutions, we study both the bipartite entanglement and genuine multipartite entanglement (GME). The dynamics of these two kinds of entanglements using the GRWA are consistent with the numerical exact ones. Interestingly, the well-known sudden death of entanglement occurs in the bipartite entanglement dynamics but not in the GME dynamics.
我们认为纠纷是与独立结构化的 non-Markovian 水库交往的三个二水平的原子的动力学。原子开始在混合多国参加的 Greenberger 被准备 -- Horne -- Zeilinger (GHZ ) 类型状态。基于纯净和 non-Markovian 水库，我们证明水库的纠纷能展出多国参加的纠纷不仅突然的出生而且纠纷原子纠纷的突然的死亡，和苏醒没被水库的解开纠结总是伴随。同时，我们为多国参加的苏醒和死亡现象导出量的标准并且发现多国参加的纠纷突然的死亡和纠纷同时的鬼怪时间是的突然的出生独立于起始的 three-qubit 状态。[从作者抽象]