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Title: Landau-Zener transition in quadratic nonlinear two-state systems

Abstract

A comprehensive theory of the Landau-Zener transition in quadratic nonlinear two-state systems is developed. A compact analytic formula involving elementary functions only is derived for the final transition probability. The formula provides a highly accurate approximation for the whole rage of the variation of the Landau-Zener parameter.

Authors:
 [1]
  1. Institute for Physical Research of NAS of Armenia, 0203 Ashtarak-2 (Armenia)
Publication Date:
OSTI Identifier:
21408934
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 81; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.81.055601; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; FUNCTIONS; NONLINEAR PROBLEMS; PROBABILITY; VARIATIONS; CALCULATION METHODS

Citation Formats

Ishkhanyan, A M. Landau-Zener transition in quadratic nonlinear two-state systems. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.81.055601.
Ishkhanyan, A M. Landau-Zener transition in quadratic nonlinear two-state systems. United States. https://doi.org/10.1103/PHYSREVA.81.055601
Ishkhanyan, A M. 2010. "Landau-Zener transition in quadratic nonlinear two-state systems". United States. https://doi.org/10.1103/PHYSREVA.81.055601.
@article{osti_21408934,
title = {Landau-Zener transition in quadratic nonlinear two-state systems},
author = {Ishkhanyan, A M},
abstractNote = {A comprehensive theory of the Landau-Zener transition in quadratic nonlinear two-state systems is developed. A compact analytic formula involving elementary functions only is derived for the final transition probability. The formula provides a highly accurate approximation for the whole rage of the variation of the Landau-Zener parameter.},
doi = {10.1103/PHYSREVA.81.055601},
url = {https://www.osti.gov/biblio/21408934}, journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 81,
place = {United States},
year = {Sat May 15 00:00:00 EDT 2010},
month = {Sat May 15 00:00:00 EDT 2010}
}