Landau-Zener transition in quadratic-nonlinear two-state systems
A.M. Ishkhanyan
TL;DR
This paper develops a comprehensive theory for Landau-Zener transitions in quadratic nonlinear two-state systems, deriving a simple yet accurate formula for transition probabilities across all parameter ranges.
Contribution
It introduces a new analytic formula for transition probabilities in nonlinear two-state systems, enhancing understanding of Landau-Zener dynamics in such contexts.
Findings
Derived a compact analytic formula for transition probability
The formula is highly accurate across all parameter ranges
Provides insights into nonlinear Landau-Zener transitions
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.
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