B. Verkin Institute for Low Temperature Physics and Engineering, Kharkiv, 61103, Ukraine.
V. N. Karazin Kharkiv National University, Kharkiv, 61022, Ukraine.
Sci Rep. 2023 Mar 28;13(1):5053. doi: 10.1038/s41598-023-31084-y.
The approach by Ettore Majorana for non-adiabatic transitions between two quasi-crossing levels is revisited and significantly extended. We rederive the transition probability, known as the Landau-Zener-Stückelberg-Majorana formula, and introduce Majorana's approach to modern readers. This result, typically referred as the Landau-Zener formula, was published by Majorana before Landau, Zener and Stückelberg. Moreover, we go well beyond previous results and we now obtain the full wave function, including its phase, which is important nowadays for quantum control and quantum information. The asymptotic wave function correctly describes the dynamics away from the avoided-level crossing, while it has limited accuracy in that region.
我们重新推导了埃托雷·马约拉纳（Ettore Majorana）提出的用于两个准交叉能级之间非绝热跃迁的方法，并将其显著扩展。这个方法被称为 Landau-Zener-Stückelberg-Majorana 公式，我们将其介绍给现代读者。这个结果通常被称为 Landau-Zener 公式，是由马约拉纳在 Landau、Zener 和 Stückelberg 之前发表的。此外，我们还超越了之前的结果，现在可以得到完整的波函数，包括相位，这对于现在的量子控制和量子信息非常重要。渐近波函数正确描述了远离回避能级交叉的动力学，而在该区域的精度有限。
