论文标题
与相关障碍的量子晶格中的流氓波
Rogue waves in quantum lattices with correlated disorder
论文作者
论文摘要
我们研究了具有相关对角线障碍的一维紧密结合晶格中异常量子波函数振幅的爆发。这种类似流氓波的行为是由本地化和流动性之间的竞争所促进的。该疾病的有效相关长度最终导致将局部疾病的强度提高到最低限度，从而加剧了极端振幅的极端事件的发生，特别是与不相关的疾病相比。我们的发现对于一类离散的一维系统有效，并揭示了随机性在流氓波产生中的作用的深刻方面。
We investigate the outbreak of anomalous quantum wavefunction amplitudes in a one-dimensional tight-binding lattice featuring correlated diagonal disorder. Such rogue-wave-like behavior is fostered by a competition between localization and mobility. The effective correlation length of the disorder is ultimately responsible for bringing the local disorder strength to a minimum, fuelling the occurrence of extreme events of much higher amplitudes, specially when compared to the case of uncorrelated disorder. Our findings are valid for a class of discrete one-dimensional systems and reveal profound aspects of the role of randomness in rogue-wave generation.
