@article{ae3b623e9fe349d1913bd7b5a0c90a20,
title = "Generalized adiabatic impulse approximation",
abstract = "Nonadiabatic transitions in multilevel systems appear in various fields of physics, but it is not easy to analyze their dynamics in general. In this paper, we propose to extend the adiabatic impulse approximation to multilevel systems. This approximation method is shown to be equivalent to a series of unitary evolutions and facilitates to evaluate the dynamics numerically. In particular, we analyze the dynamics of the Landau-Zener grid model and the multilevel Landau-Zener-St{\"u}ckelberg-Majorana interference model, and confirm that the results are in good agreement with the exact dynamics evaluated numerically. We also derive the conditions for destructive interference to occur in the multilevel system. ",
author = "Takayuki Suzuki and Hiromichi Nakazato",
note = "Funding Information: This work was supported by JSPS KAKENHI Grant No. JP21J12952. T.S. was supported by Waseda Research Institute for Science and Engineering, Grant-in-Aid for Young Scientists (Early Bird) and Top Global University Project from the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan. H.N. is supported, in part, by the Institute for Advanced Theoretical and Experimental Physics, Waseda University and by a Waseda University Grant for Special Research Projects (Project No. 2021C-196). Publisher Copyright: {\textcopyright} 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.",
year = "2022",
month = feb,
doi = "10.1103/PhysRevA.105.022211",
language = "English",
volume = "105",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "2",
}