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arXiv 2001.00750quant-phgr-qc
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非惯性运动中两个最大纠缠原子的辐射反应诱导跃迁

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

Wenting Zhou, Hongwei Yu

摘要:

本文应用DDC方法研究了两个全同二能级原子与真空无质量标量场沿静止轨道同步相互作用时的平均能量变化率。通过分离真空涨落和原子辐射反应的贡献,我们首先证明,对于初始制备在可因子化本征态$|g_Ag_B\rangle$和$|e_Ae_B\rangle$中的双原子系统,其中$g$和$e$分别代表单个原子的基态和激发态,真空涨落和原子辐射反应都对双原子系统能量的平均变化率有贡献,真空涨落的贡献与原子间距离无关,而原子辐射反应的贡献则与原子间距离有关,这与文献中真空涨落与原子间距离有关的结果相反.然而,如果两原子系统初始制备在不可因式分解的对称/反对称纠缠态,则两原子系统的平均能量变化率不受真空涨落的影响,而完全是原子辐射反应的结果。然后我们考虑了两种特殊的两原子系统的运动情况,这两个系统最初是在对称/反对称纠缠态中制备的,即,同步惯性运动和同步匀加速。与匀加速单原子的平均能量变化率不同,匀加速双原子系统的平均能量变化率是类非热的。讨论了非惯性运动对关联原子态跃迁的影响。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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