论文标题
离散时间量子步行中的流氓波浪
Rogue waves in discrete-time quantum walks
论文作者
论文摘要
流氓波是在海洋学和光学等各个领域报道的迅速且不可预测的事件,其中大部分兴趣针对其物理起源和发生的可能性。在这里,我们使用离散时间量子步行的全方位框架来研究这些事件的开始,这是由于随机相调制,揭示其长尾统计数据,分布概况,分布曲线以及对随机性程度的依赖。我们发现那些流氓波属于极值分布的牙龈家族。
Rogue waves are rapid and unpredictable events of exceptional amplitude reported in various fields, such as oceanography and optics, with much of the interest being targeted towards their physical origins and likelihood of occurrence. Here, we use the all-round framework of discrete-time quantum walks to study the onset of those events due to a random phase modulation, unveiling its long-tailed statistics, distribution profile, and dependence upon the degree of randomness. We find that those rogue waves belong the Gumbel family of extreme value distributions.