Majorana’s approach to nonadiabatic transitions validates the adiabatic-impulse approximation
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Mar 28, 2023
- Source ID
- 10.1038/s41598-023-31084-y
Entities
People
- Franco Nori
- O. V. Ivakhnenko
- P. O. Kofman
- S. N. Shevchenko
Organizations
- Army Research Office
- Foundational Questions Institute
- Japan Society for the Promotion of Science
- NTT, Inc.