Nonlinear Landau-Zener Processes in a Periodic Driving Field

Details Nonlinear Landau-Zener Processes in a Periodic Driving Field Nonlinear Landau-Zener Processes in a Periodic Driving Field

2008-04-29

arxiv.org/abs/0804.4538v2

New Journal of Physics 10, 073008 (2008)

Physics

Condensed Matter

Other Condensed Matter

21 pages, 9 figures, minor changes, published in New Journal of Physics

Scientific paper

10.1088/1367-2630/10/7/073008

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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