Rogue waves in quantum lattices with correlated disorder
Physical Review A(2023)
Abstract
We investigate the outbreak of anomalous quantum wave-function amplitudes in a one-dimensional tightbinding 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, fueling the occurrence of extreme events of much higher amplitudes, especially 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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Key words
quantum lattices,rogue waves,disorder
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