26th RQC Seminar
Ms. Polina Kofman
(School of Physics and Technology, V. N. Karazin Kharkiv National University, Ukraine)
16:00-17:00 (JST), February 13, 2023 (Monday)
Hybrid (Zoom / 2F Large Conference Room, Admin. Headquarters Bldg. RIKEN Wako branch)
Majorana's approach to nonadiabatic transitions and how it validates the adiabatic-impulse approximation
The approach by Ettore Majorana for non-adiabatic transitions between two quasi-crossing levels is revisited. 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, Stückelberg. Moreover, we obtain the full wave function, including its phase, which is important nowadays for quantum control and quantum information. The asymptotic wave function correctly describes dynamics far from the avoided-level crossing, while it has limited accuracy in that region.
【References】: Polina O. Kofman et al, https://doi.org/10.48550/arXiv.2208.00481
Background information can be found in these reviews:
S.N. Shevchenko, S. Ashhab, F. Nori
Physics Reports 492, pp. 1-30 (2010).
[PDF] [Link] [arXiv]
O.V. Ivakhnenko, S.N. Shevchenko, F. Nori
Nonadiabatic Landau–Zener–Stückelberg–Majorana transitions, dynamics, and interference
Physics Reports 995, pp. 1-89 (2023).
[PDF] [Link] [arXiv] (published online Nov. 10, 2022)