Topology-driven nonlinear switching in Möbius discrete arrays

Abstract

We examine the switching dynamics of discrete solitons propagating along two coupled discrete arrays which are twisted to form a Möbius strip. We analyze the potential of the topological switches by comparing the differences between the Möbius strip and untwisted discrete arrays. We employ the Ablowitz-Ladik (AL) model and reveal a nontrivial Berry phase associated with the monopole spectra in parameter space. We study the dynamical evolution of the AL soliton launched into one of the chains and observe its switching behavior. While in the untwisted discrete case, the soliton splits in nearly identical portions as the interchain coupling is increased, in the Möbius case and for weak coupling, we observe a well-defined "switching time" where the soliton switches completely from one chain to the other.

Publication DOI: https://doi.org/10.1103/PhysRevA.95.033833
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
Uncontrolled Keywords: Atomic and Molecular Physics, and Optics
Publication ISSN: 1094-1622
Last Modified: 22 Feb 2024 08:10
Date Deposited: 13 Apr 2017 14:05
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2017-03-24
Accepted Date: 2017-03-24
Submitted Date: 2016-11-14
Authors: Muñoz, Francisco J.
Turitsyn, Sergei K. (ORCID Profile 0000-0003-0101-3834)
Kivshar, Yuri S.
Molina, Mario I.

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