Topology-driven nonlinear switching in Möbius discrete arrays

Muñoz, Francisco J., Turitsyn, Sergei K., Kivshar, Yuri S. and Molina, Mario I. (2017). Topology-driven nonlinear switching in Möbius discrete arrays. Physical Review A, 95 (3),


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:
Divisions: Engineering & Applied Sciences > Electrical, electronic & power engineering
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Engineering & Applied Sciences > Institute of Photonics
Uncontrolled Keywords: Atomic and Molecular Physics, and Optics
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2017-03-24
Authors: Muñoz, Francisco J.
Turitsyn, Sergei K. ( 0000-0003-0101-3834)
Kivshar, Yuri S.
Molina, Mario I.



Version: Accepted Version

| Preview

Export / Share Citation


Additional statistics for this record