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arXiv · 0804.4538

Nonlinear Landau-Zener Processes in a Periodic Driving Field

Qi Zhang·Peter Hanggi·Jiangbin Gong
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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.

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Qi Zhang, Peter Hanggi, Jiangbin Gong. 2008-07-09. Nonlinear Landau-Zener Processes in a Periodic Driving Field. https://doi.org/10.1088/1367-2630%2F10%2F7%2F073008

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