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Complex light: Dynamic phase transitions of a light beam in a nonlinear non-local disordered medium

Claudio Conti
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Abstract

The dynamics of several light filaments (spatial optical solitons) propagating in an optically nonlinear and non-local random medium is investigated using the paradigms of the physics of complexity. Cluster formation is interpreted as a dynamic phase transition. A connection with the random matrices approach for explaining the vibrational spectra of an ensemble of solitons is pointed out. General arguments based on a Brownian dynamics model are validated by the numerical simulation of a stochastic partial differential equation system. The results are also relevant for Bose condensed gases and plasma physics.

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Claudio Conti. 2005-11-08. Complex light: Dynamic phase transitions of a light beam in a nonlinear non-local disordered medium. https://doi.org/10.1103/physreve.72.066620

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