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arXiv · 2208.00538

Rogue waves in quantum lattices with correlated disorder

A. R. C. Buarque·W. S. Dias·G. M. A. Almeida·M. L. Lyra·F. A. B. F. de Moura
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Abstract

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.

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A. R. C. Buarque, W. S. Dias, G. M. A. Almeida, M. L. Lyra, F. A. B. F. de Moura. 2022-07-31. Rogue waves in quantum lattices with correlated disorder. https://doi.org/10.1103/physreva.107.012425

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