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

Autor:	P. O. Kofman, O. V. Ivakhnenko, S. N. Shevchenko, Franco Nori
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Medicine Science
Zdroj:	Scientific Reports, Vol 13, Iss 1, Pp 1-11 (2023)
Druh dokumentu:	article
ISSN:	2045-2322
DOI:	10.1038/s41598-023-31084-y
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3771667726914b49811805cce51a57e4 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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