论文标题
Kappa呈现的零件方程的光子实现
Photonic realization of the kappa-deformed Dirac equation
论文作者
论文摘要
我们显示了在光子波导的紧密结合阵列中的kappa变形dirac方程的实现。这是通过延伸到第二个最近邻居的耦合的特殊配置来完成的。几何操纵可以控制这些evanscent的耦合。提出了对波数据包传播的仔细研究，包括变形参数对Zitterbewegung或颤抖运动的影响。通过这种方式，我们演示了如何在简单的实验设置中重新创建平坦的非交通时空-I.E.，Kappa -Minkowski时空的效果。我们在结论部分中谈到了弹性实现。
We show an implementation of a kappa-deformed Dirac equation in tight-binding arrays of photonic waveguides. This is done with a special configuration of couplings extending to second nearest neighbors. Geometric manipulations can control these evanescent couplings. A careful study of wave packet propagation is presented, including the effects of deformation parameters on Zitterbewegung or trembling motion. In this way, we demonstrate how to recreate the effects of a flat noncommutative spacetime -i.e., kappa-Minkowski spacetime -in simple experimental setups. We touch upon elastic realizations in the section of Conclusions.
