Author:
Kofman P. O.,Ivakhnenko O. V.,Shevchenko S. N.,Nori Franco
Abstract
AbstractThe 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.
Funder
Army Research Office
IPA RIKEN scholarship
Japan Society for the Promotion of Science<
the Army Research Office
Asian Office of Aerospace Research and Development
Foundational Questions Institute Fun
Nippon Telegraph and Telephone Corporation (NTT) Research, the Japan Science and Technology Agency
Publisher
Springer Science and Business Media LLC
Reference39 articles.
1. Majorana, E. Atomi orientati in campo magnetico variabile. Il Nuovo Cimento 9, 43–50. https://doi.org/10.1007/bf02960953 (1932).
2. Landau, L. Zur theorie der Energieübertragung. Phyz. Z. Sowjetunion 1, 88 (1932).
3. Landau, L. Zur theorie der Energieübertragung II. Phyz. Z. Sowjetunion 2, 46–51 (1932).
4. Zener, C. Non-adiabatic crossing of energy levels. Proc. R. Soc. A 137, 696–702. https://doi.org/10.1098/rspa.1932.0165 (1932).
5. Stückelberg, E. C. G. Theorie der unelastischen Stösse zwischen Atomen. Helv. Phys. Acta 5, 369–423 (1932).
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