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      Majorana’s approach to nonadiabatic transitions validates the adiabatic-impulse approximation

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          Abstract

          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.

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          Atomi orientati in campo magnetico variabile

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            Molecular dynamics with electronic transitions

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              Non-Adiabatic Crossing of Energy Levels

              C. Zener (1932)
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                Author and article information

                Contributors
                polinaokofman@gmail.com
                sshevchenko@ilt.kharkov.ua
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                28 March 2023
                28 March 2023
                2023
                : 13
                : 5053
                Affiliations
                [1 ]GRID grid.424856.9, ISNI 0000 0001 1017 0757, B. Verkin Institute for Low Temperature Physics and Engineering, ; Kharkiv, 61103 Ukraine
                [2 ]GRID grid.18999.30, ISNI 0000 0004 0517 6080, V. N. Karazin Kharkiv National University, ; Kharkiv, 61022 Ukraine
                [3 ]GRID grid.7597.c, ISNI 0000000094465255, Theoretical Quantum Physics Laboratory, , Cluster for Pioneering Research, RIKEN, ; Wakoshi, Saitama 351-0198 Japan
                [4 ]GRID grid.7597.c, ISNI 0000000094465255, Quantum Computing Center, RIKEN, ; Wakoshi, Saitama 351-0198 Japan
                [5 ]GRID grid.214458.e, ISNI 0000000086837370, Department of Physics, , The University of Michigan, ; Ann Arbor, MI 48109-1040 USA
                Article
                31084
                10.1038/s41598-023-31084-y
                10050008
                36977739
                8e77ac31-fde8-4e58-94c0-f1dc2a23e0f8
                © The Author(s) 2023

                Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 31 December 2022
                : 6 March 2023
                Funding
                Funded by: Army Research Office
                Award ID: W911NF-20-1- 0261
                Funded by: IPA RIKEN scholarship
                Funded by: Japan Society for the Promotion of Science<
                Award ID: P20H00134
                Funded by: the Army Research Office
                Award ID: W911NF-18-1-0358
                Funded by: FundRef http://dx.doi.org/10.13039/100018237, Asian Office of Aerospace Research and Development;
                Award ID: FA2386-20-1-4069
                Funded by: Foundational Questions Institute Fun
                Award ID: FQXi-IAF19-06
                Funded by: Nippon Telegraph and Telephone Corporation (NTT) Research, the Japan Science and Technology Agency
                Award ID: JPMJMS2061
                Categories
                Article
                Custom metadata
                © The Author(s) 2023

                Uncategorized
                physics,quantum physics,quantum information,quantum mechanics,qubits
                Uncategorized
                physics, quantum physics, quantum information, quantum mechanics, qubits

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