RQC Seminar

26th RQC Seminar

  • Speaker

    Ms. Polina Kofman
    (School of Physics and Technology, V. N. Karazin Kharkiv National University, Ukraine)

  • Date

    16:00-17:00 (JST), February 13, 2023 (Monday)

  • Venue

    Hybrid (Zoom / 2F Large Conference Room, Admin. Headquarters Bldg. RIKEN Wako branch)

  • Title

    Majorana's approach to nonadiabatic transitions and how it validates the adiabatic-impulse approximation

  • Inquiries


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
Landau–Zener–Stückelberg interferometry
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)

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