Time-reversal focusing of an expanding soliton gas in disordered replicas

A. Fratalocchi, A. Armaroli, and S. Trillo
Phys. Rev. A 83, 053846 – Published 31 May 2011

Abstract

We investigate the properties of time reversibility of a soliton gas, originating from a dispersive regularization of a shock wave, as it propagates in a strongly disordered environment. An original approach combining information measures and spin glass theory shows that time-reversal focusing occurs for different replicas of the disorder in forward and backward propagation, provided the disorder varies on a length scale much shorter than the width of the soliton constituents. The analysis is performed by starting from a new class of reflectionless potentials, which describe the most general form of an expanding soliton gas of the defocusing nonlinear Schrödinger equation.

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  • Received 15 June 2010

DOI:https://doi.org/10.1103/PhysRevA.83.053846

©2011 American Physical Society

Authors & Affiliations

A. Fratalocchi1,2,*, A. Armaroli3, and S. Trillo3

  • 1PRIMALIGHT, Faculty of Electrical Engineering, Applied Mathematics and Computational Science, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia
  • 2Department of Physics, Sapienza University of Rome, I-00185 Rome, Italy
  • 3Dipartimento di Ingegneria, Università di Ferrara, Via Saragat 1, I-44122 Ferrara, Italy

  • *andrea.fratalocchi@kaust.edu.sa [www.primalight.org]

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Vol. 83, Iss. 5 — May 2011

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