论文标题
非线性三州量子步行
Nonlinear three-state quantum walks
论文作者
论文摘要
研究了具有振幅依赖相移的三态量子行走的动力学。我们考虑了两个代表性输入，其线性演变已知可以在初始位置显示波数据包的完整分散或固有的定位。非线性对应物提出了更多涉及的动力学，具有自捕曲，孤子脉冲，辐射和类似混沌的行为。我们表明，非线性会导致一个可稳定的自我捕获的Wavepacket组件，该组件在长期制度中以生存概率$ \ propto t^{ - 1/2} $辐射。发现从这种亚稳态状态到触发辐射过程的点的突然动力过渡是为一组参数的。
The dynamics of a three-state quantum walk with amplitude-dependent phase shifts is investigated. We consider two representative inputs whose linear evolution is known to display either full dispersion of the wave packet or intrinsic localization on the initial position. The nonlinear counterpart presents much more involved dynamics featuring self-trapping, solitonic pulses, radiation, and chaotic-like behavior. We show that nonlinearity leads to a metastable self-trapped wavepacket component that radiates in the long-time regime with the survival probability $\propto t^{-1/2}$. A sudden dynamical transition from such metastable state to the point when the radiation process is triggered is found for a set of parameters.
