Topology-driven nonlinear switching in Mobius discrete arrays

Date

2017

Authors

Munoz, Francisco J.
Turitsyn, S
Kivshar, Yuri
Molina, Mario I

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

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

Description

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Citation

Source

Physical Review A: Atomic, Molecular and Optical Physics

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

DOI

10.1103/PhysRevA.95.033833

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