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Modern Physics

Dynamics of Entanglement of Two Entangled Two-Level Atoms Interacted with Single-Mode Field

晓梅孙

Published Jan 1, 2017• 0 citations

Abstract

在光原子相互作用系统中，考虑两二能级原子间的偶极–偶极相互作用对原子间纠缠动力学过程的影响。研究表明：原子间的偶极–偶极相互作用对量子纠缠(共生纠缠度)动力学振荡过程具有抑制作用，当偶极–偶极相互为零时，量子纠缠呈双周期振荡效果，当偶极–偶极相互作用增强时，振荡频率逐渐降低，当偶极–偶极相互作用远大于原子与库环境相互作用强度时，量子纠缠呈明显的余弦振荡，其振荡频率为。 The influence of dipole-dipole interactions between the two two-level entangled atoms for dynamics of quantum entanglement is studied in the system of matter-field interaction in quantum optics. The results show that the dipole-dipole interaction is capable to suppress dynamics of quantum entanglement (concurrence). If we have no regard for the dipole-dipole interaction, the dynamic of quantum entanglement is periodic oscillation including two different frequencies. Meanwhile, the frequency is decreasing with the increasing of the dipole-dipole interaction. When this interaction is much larger than that between the atoms and independent the single-mode field (modeled as extern environment), the process of dynamic of quantum entanglement is cosine oscillation with frequency .

DOI: 10.12677/mp.2017.76027

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在光原子相互作用系统中，考虑两二能级原子间的偶极–偶极相互作用对原子间纠缠动力学过程的影响。研究表明：原子间的偶极–偶极相互作用对量子纠缠(共生纠缠度)动力学振荡过程具有抑制作用，当偶极–偶极相互为零时，量子纠缠呈双周期振荡效果，当偶极–偶极相互作用增强时，振荡频率逐渐降低，当偶极–偶极相互作用远大于原子与库环境相互作用强度时，量子纠缠呈明显的余弦振荡，其振荡频率为。 The influence of dipole-dipole interactions between the two two-level entangled atoms for dynamics of quantum entanglement is studied in the system of matter-field interaction in quantum optics. The results show that the dipole-dipole interaction is capable to suppress dynamics of quantum entanglement (concurrence). If we have no regard for the dipole-dipole interaction, the dynamic of quantum entanglement is periodic oscillation including two different frequencies. Meanwhile, the frequency is decreasing with the increasing of the dipole-dipole interaction. When this interaction is much larger than that between the atoms and independent the single-mode field (modeled as extern environment), the process of dynamic of quantum entanglement is cosine oscillation with frequency .

The entanglement dynamics of two partially entangled two-level atoms interacting with a single mode vacuum field is investigated.The entanglement dynamics between two partially entangled two-level atoms and the vacuum field is explored by using the quantum re- duced entropy,and that between two two-level atoms is studied by using the quantum relative entropy.The influences of the atomic dipole-dipole interaction intensity on the entanglement dynamics of the system are also discussed.The results show that the system exhibits periodic entanglement dynamics,and the magnitude and the period of entanglement depend on the atomic dipole-dipole interaction.The atom-field maximal entanglement state and atom-atom maximal entanglement state can be preparated by selecting appropriate system parameters and the interaction time.

By exactly solving the model of two two-level atoms with dipole-dipole interaction, interacting with a common environment, quantum entanglement and quantum discord of two atoms are obtained. In this paper, the influences of the non-Markovian effect of environment, the dipole-dipole interaction of two atoms and the detunings of the central frequency of the cavity and the transition frequency of the atoms on quantum entanglement and quantum discord dynamics of two atoms are comprehensively considered. The study shows that in the non-Markovian regime and the resonant case, if two atoms are initially in the entangled state, the damping of quantum entanglement and quantum discord will be remarkably suppressed. More specially, in the off-resonant case, the disentanglement time of the two atoms can be considerably prolonged. On the other hand, if two atoms are initially in the separable state, the dipole-dipole interaction can enhance the amplitude of oscillations of quantum entanglement and quantum discord in a short time, but the steady values of quantum entanglement and quantum discord cannot be changed by the dipole-dipole interaction in the long-time limit. Finally, the different influences of the dipole-dipole interaction on quantum entanglement and quantum discord also are discussed.

The entanglement properties of the system of two two-level atoms interacting with a single-mode vacuum field are explored. The quantum entanglement between two two-level atoms and a single-mode vacuum field is investigated by using the quantum reduced entropy; the quantum entanglement between two two-level atoms and that between a single two-level atom and a single-mode vacuum field are studied in terms of the quantum relative entropy. The influences of the atomic dipole–dipole interaction on the quantum entanglement of the system are also discussed. Our results show that three entangled states of two atoms–field, atom–atom and atom–field can be prepared via two two-level atoms interacting with a single-mode vacuum field.

The entanglement of two dipole-coupled superconducting flux qubits with degenerate and nondegenerate twophoton transitions interacting with one-mode or two-mode field in lossless cavity has been investigated. The influence of dipole-dipole interaction on the entanglement between two qubits for different initial atom-field entangled states has been considered. The results show that the entanglement between two artificial atoms can be increased by means of dipole-dipole interaction and for some initial states the entanglement sudden death effect can be weakened.

We investigate the entanglement in a system of two coupling atoms interacting with a single-mode field by means of quantum information entropy theory. The quantum entanglement between the two atoms and the coherent field is discussed by using the quantum reduced entropy, and the entanglement between the two coupling atoms is also investigated by using the quantum relative entropy. In addition, the influences of the atomic dipole–dipole interaction intensity and the average photon number of the coherent field on the degree of the entanglement is examined. The results show that the evolution of the degree of entanglement between the two atoms and the field is just opposite to that of the degree of entanglement between the two atoms. And the properties of the quantum entanglement in the system rely on the atomic dipole–dipole interaction and the average photon number of the coherent field.