Nonlinearity-induced localization in a periodically driven semidiscrete system

R. Driben, V. V. Konotop, B. A. Malomed, T. Meier, and A. V. Yulin
Phys. Rev. E 97, 062210 – Published 18 June 2018

Abstract

We demonstrate that nonlinearity plays a constructive role in supporting the robustness of dynamical localization in a system which is discrete in one dimension and continuous in the orthogonal one. In the linear regime, time-periodic modulation of the gradient strength along the discrete axis leads to the usual rapid spread of an initially confined wave packet. Addition of the cubic nonlinearity makes the dynamics drastically different, inducing robust localization of moving wave packets. Similar nonlinearity-induced effects are also produced in the presence of a combination of static and oscillating linear potentials. The predicted dynamical localization in the nonlinear medium can be realized in photonic lattices and Bose-Einstein condensates.

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  • Received 12 January 2018

DOI:https://doi.org/10.1103/PhysRevE.97.062210

©2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Nonlinear Dynamics

Authors & Affiliations

R. Driben1, V. V. Konotop2, B. A. Malomed3,4,5, T. Meier1, and A. V. Yulin5

  • 1Department of Physics and CeOPP, University of Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany
  • 2Centro de Física Teórica e Computacional and Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, Ed. C8, Lisbon 1749-016, Portugal
  • 3Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, P.O.B. 39040, Tel Aviv, Israel
  • 4Center for Light-Matter Interaction, Tel Aviv University, P.O.B. 39040, Tel Aviv, Israel
  • 5ITMO University, 49 Kronverskii Ave., St. Petersburg 197101, Russian Federation

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Issue

Vol. 97, Iss. 6 — June 2018

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