论文标题

两个最大纠缠原子的辐射反应诱导的过渡

Radiation-reaction-induced transitions of two maximally entangled atoms in non-inertial motion

论文作者

Zhou, Wenting, Yu, Hongwei

论文摘要

我们将DDC形式主义[由Dalibard,Dupont-Roc和Cohen-Tannoudji提出]来研究两个相同的两级原子的能量变化速率,它们与沿平稳轨迹的真空无质量标量相互作用。通过分开真空波动和原子辐射反应的贡献,我们首先表明,对于最初在可因素的特征性的两种原子系统中,$ | g_ag_b \ rangle $和$ | e_AE_B \ rangle $ |两种原子系统的能量变化速率以及真空波动的贡献与原子间分离无关,而原子辐射反应的分离取决于它。这与文献中现有的结果相反,在文献中真空波动取决于原子间分离。但是,如果最初在无法实现的对称/反对称纠缠状态下制备两种原子系统,则真空波动永远不会扰动两种原子系统的能量变化率,但完全是原子辐射反应的结果。然后,我们考虑两种特殊的运动系统的特殊情况,最初是在对称/反对称纠缠状态下制备的,即同步惯性运动和同步均匀加速。与单一均匀加速原子的能量变化的平均变化率相反,平均均匀加速的两个原子系统的能量变化速率是非热的。还讨论了非惯性运动对两个相关原子状态过渡的影响。

We apply the DDC formalism [proposed by Dalibard, Dupont-Roc and Cohen-Tannoudji] to study the average rate of change of energy of two identical two-level atoms interacting with the vacuum massless scalar field in synchronized motion along stationary trajectories. By separating the contributions of vacuum fluctuations and atomic radiation reaction, we first show that for the two-atom system initially prepared in the factorizable eigenstates $|g_Ag_B\rangle$ and $|e_Ae_B\rangle$, where $g$ and $e$ represent the ground state and the excited state of a single atom respectively, both vacuum fluctuations and atomic radiation reaction contribute to the average rate of change of energy of the two-atom system, and the contribution of vacuum fluctuations is independent of the interatomic separation while that of atomic radiation reaction is dependent on it. This is contrary to the existing results in the literature where vacuum fluctuations are interatomic-separation dependent. However, if the two-atom system is initially prepared in the unfactorizable symmetric/antisymmetric entangled state, the average rate of change of energy of the two-atom system is never perturbed by the vacuum fluctuations, but is totally a result of the atomic radiation reaction. We then consider two special cases of motion of the two-atom system which is initially prepared in the symmetric/antisymmetric entangled state, i.e., synchronized inertial motion and synchronized uniform acceleration. In contrast to the average rate of change of energy of a single uniformly accelerated atom, the average rate of change of energy of the uniformly accelerated two-atom system is nonthermal-like. The effects of noninertial motion on the transitions of states of the two correlated atoms are also discussed.

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