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arXiv · 0812.0223

Universal Correlations and Dynamic Disorder in a Nonlinear Periodic 1D System

Yaron Silberberg·Yoav Lahini·Yaron Bromberg·Eran Small·Roberto Morandotti
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Abstract

When a periodic 1D system described by a tight-binding model is uniformly initialized with equal amplitudes at all sites, yet with completely random phases, it evolves into a thermal distribution with no spatial correlations. However, when the system is nonlinear, correlations are spontaneously formed. We find that for strong nonlinearities, the intensity histograms approach a narrow Gaussian distributed around their mean and phase correlations are formed between neighboring sites. Sites tend to be out-of-phase for a positive nonlinearity and in-phase for a negative one. The field correlations take a universal shape independent of parameters. This nonlinear evolution produces an effectively dynamically disordered potential which exhibits interesting diffusive behavior.

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Yaron Silberberg, Yoav Lahini, Yaron Bromberg, Eran Small, Roberto Morandotti. 2008-12-01. Universal Correlations and Dynamic Disorder in a Nonlinear Periodic 1D System. https://doi.org/10.1103/physrevlett.102.233904

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