Generalized adiabatic impulse approximation
Generalized adiabatic impulse approximation
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DOI：
10.1103/physreva.105.022211
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发表时间：
2021-12
影响因子：
2.9
通讯作者：
Takayuki Suzuki;H. Nakazato
中科院分区：
文献类型：
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作者：
Takayuki Suzuki;H. Nakazato
多能级系统中的非绝热跃迁现象出现在物理学的各个领域，但一般地分析其动力学并不容易。在本文中，我们建议将绝热脉冲近似推广到多级系统。这种近似方法被证明等效于一系列么正演化，并且有助于数值评估动力学。特别是，我们分析了Landau-Zener网格模型和多级Landau-Zener- Stückelberg-Majorana干涉模型的动力学，并确认结果与数值评估的精确动力学吻合得很好。我们还导出了在多能级系统中发生相消干涉的条件。
Non-adiabatic transitions in multilevel systems appear in various fields of physics, but it is not easy to analyze their dynamics in general. In this paper, we propose to extend the adiabatic impulse approximation to multilevel systems. This approximation method is shown to be equivalent to a series of unitary evolutions and facilitates to evaluate the dynamics numerically. In particular, we analyze the dynamics of the Landau–Zener grid model and the multilevel Landau–Zener– Stückelberg–Majorana interference model, and confirm that the results are in good agreement with the exact dynamics evaluated numerically. We also derive the conditions for destructive interference to occur in the multilevel system.