Rogue waves in quantum lattices with correlated disorder

• URL: http://arxiv.org/abs/2208.00538v1
• Date: Sun, 31 Jul 2022 23:07:37 GMT
• Title: Rogue waves in quantum lattices with correlated disorder
• Authors: A. R. C. Buarque, W. S. Dias, G. M. A. Almeida, M. L. Lyra, and F. A. B. F. de Moura
• Abstract summary: We investigate the outbreak of anomalous quantum wavefunction amplitudes in a one-dimensional tight-binding lattice featuring correlated diagonal disorder. The effective correlation length of the disorder is ultimately responsible for bringing the local disorder strength to a minimum.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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