ArticleScientific reports2023
Majorana's approach to nonadiabatic transitions validates the adiabatic-impulse approximation.
Article in Scientific reports, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed, 35 citations in OpenAlex.
- Multipassage Landau-Zener tunneling oscillations in the dual dressing of atomic qubits.Scientific reports · 2026Article
- Electrical manipulation of the spins in phosphorene double quantum dots.Scientific reports · 2024Article
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4 authors at 3 institutions in 3 countries.
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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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