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多光子原子跃迁的条件非厄米加速

Conditional non-Hermitian acceleration of multiphoton atomic transitions

Marcos V. S. de Paula, Alexandre P. Costa, A. V. Dodonov

arXiv 2608.09562首次发表:更新:

AI 中文总结

该研究针对Λ构型三能级原子,利用监测衰变通道构建非厄米哈密顿量,通过理论与数值分析证明测量条件下多光子态转移可实现布居转移增强,且存在速度与成功率的权衡关系。

AI 中文摘要

连续监测可将耗散通道转化为加速原本缓慢的多光子跃迁的资源。我们考虑处于Λ构型的三能级原子,并通过辅助监测的衰变通道,将演化条件设定为不存在光子发射。由此产生的无跳变动力学由非厄米拉比型哈密顿量描述。利用弗洛凯理论和布里渊-维格纳投影算子微扰法,我们推导了半经典和量子拉比模型中奇数次多光子共振的有效两态描述。有效布居转移率定义为原子态间首次完全转移所需时间的倒数,其在异常点处达到最大化,此时其增强因子接近π/2,对应比厄米值提高约57%。三光子和五光子共振的数值结果与解析跃迁时间吻合度高,并产生不可忽略的后选择概率。相比之下,完全无附加条件的耗散演化并未表现出相同的布居转移增强。这些结果表明,测量条件下的多光子态转移存在速度与成功率的权衡关系。

英文摘要

Continuous monitoring can convert a dissipative channel into a resource for accelerating otherwise slow multiphoton transitions. We consider a three-level atom in a $Λ$ configuration and condition the evolution on the absence of photon emission through an auxiliary monitored decay channel. The resulting no-jump dynamics is governed by a non-Hermitian Rabi-type Hamiltonian. Using Floquet theory and Brillouin--Wigner projection-operator perturbation method, we derive effective two-state descriptions of odd-multiphoton resonances in the semiclassical and quantum Rabi models. The effective population-transfer rate, defined as the inverse of the time required for the first complete transfer between the atomic states, is maximized at an exceptional point, where its enhancement factor approaches $π/2$, corresponding to an approximately $57\%$ increase over the Hermitian value. Numerical results for three- and five-photon resonances closely reproduce the analytical transition times and yield non-negligible postselection probabilities. By contrast, the complete unconditioned dissipative evolution does not exhibit the same population-transfer enhancement. These results demonstrate a speed--success trade-off for measurement-conditioned multiphoton state transfer.

Comments9 pages, 5 figures

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