周期驱动场中的非线性Landau-Zener过程
Nonlinear Landau-Zener Processes in a Periodic Driving Field
摘要：
利用描述多体系统平均场动力学的非线性双模模型研究了周期驱动场对Landau-Zener过程的影响。讨论和分析了驱动场在不同参数范围内的各种动力学现象。这些包括移位，减弱，或增强的非线性朗道-齐纳过程，非线性增强的人口转移在绝热极限，和平均场水平上的哈密顿混沌的相位依赖。这项工作的重点放在如何影响的周期性驱动场的Landau-Zener过程与自相互作用的不同，从那些没有自相互作用。除了获得驱动的非线性朗道-齐纳过程的理解，我们的研究结果可以用来衡量非线性的强度和多体系统的平均场动力学的有效操纵。
英文摘要：
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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