Nonlinear Landau-Zener Processes in a Periodic Driving Field
Abstract
Effects of a periodic driving field on Landau-Zener processes are studied using a nonlinear two-mode model that describes the mean-field dynamics of a many-body system. A variety of different dynamical phenomena in different parameter regimes of the driving field are discussed and analyzed. These include shifted, weakened, or enhanced phase dependence of nonlinear Landau-Zener processes, nonlinearity-enhanced population transfer in the adiabatic limit, and Hamiltonian chaos on the mean field level. The emphasis of this work is placed on how the impact of a periodic driving field on Landau-Zener processes with self-interaction differs from those without self-interaction. Aside from gaining understandings of driven nonlinear Landau-Zener processes, our findings can be used to gauge the strength of nonlinearity and for efficient manipulation of the mean-field dynamics of many-body systems.
Cite
@article{arxiv.0804.4538,
title = {Nonlinear Landau-Zener Processes in a Periodic Driving Field},
author = {Qi Zhang and Peter Hanggi and Jiangbin Gong},
journal= {arXiv preprint arXiv:0804.4538},
year = {2009}
}
Comments
21 pages, 9 figures, minor changes, published in New Journal of Physics