Edge modes in strongly nonlinear saturable SSH photonic lattices: Tracing a bulk-edge correspondence through instabilities and bifurcations

Kolja Bugarski, Aleksandra Maluckov, Rodrigo A. Vicencio and Magnus Johansson

Chaos, Solitons & Fractals, 2025, vol. 193, issue C

Abstract: Photonic lattices with a saturable nonlinear response generally exhibit a second linear regime at high light intensities. Here, we perform a detailed numerical analysis of nonlinear continuations of the topological edge mode of a Su–Schrieffer–Heeger (SSH) chain, following the family of exact nonlinear stationary solutions through instabilities and bifurcations from the low-intensity to the high-intensity linear limit. The properties of the nonlinear edge modes define several regimes corresponding to qualitatively different dynamics for edge excitations. For each of these nonlinear regimes we numerically calculate the evolution of two commonly used indicators of nontrivial bulk topology: the mean field displacement and the Zak phase obtained from projector matrices. Thus, we determine the extent to which one may establish an approximate bulk-edge correspondence, characterized by dynamically stable nonlinear edge modes and well defined approximate Zak phases, in the full nonlinear regime of the saturable lattice.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925000992
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:193:y:2025:i:c:s0960077925000992

DOI: 10.1016/j.chaos.2025.116086

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().