Asymmetrical temporal dynamics of edge modes in Su-Schrieffer-Heeger lattice with Kerr nonlinearity

Fuente: arXiv
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Autori principali: Alharbi, Ghada, Wong, Stephan, Gong, Yongkang, Oh, Sang Soon
Natura: Preprint
Pubblicazione: 2024
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author Alharbi, Ghada
Wong, Stephan
Gong, Yongkang
Oh, Sang Soon
author_facet Alharbi, Ghada
Wong, Stephan
Gong, Yongkang
Oh, Sang Soon
contents Optical bistability and oscillating phases exist in a Sagnac interferometer and a single ring resonator made of $χ^{(3)}$ nonlinear medium where the refractive indices are modulated by the light intensity due to the Kerr nonlinearity. An array of coupled nonlinear ring resonators behave similarly but with more complexity due to the presence of the additional couplings. Here, we theoretically demonstrate the bifurcation of edge modes which leads to optical bistability in the Su-Schrieffer-Heeger lattice with the Kerr nonlinearity. Additionally, we demonstrate periodic and chaotic switching behaviors in an oscillating phase resulting from the coupling between the edge mode and bulk modes with different chiralities, i.e., clockwise and counter-clockwise circulations.
format Preprint
id arxiv_https___arxiv_org_abs_2403_00538
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Asymmetrical temporal dynamics of edge modes in Su-Schrieffer-Heeger lattice with Kerr nonlinearity
Alharbi, Ghada
Wong, Stephan
Gong, Yongkang
Oh, Sang Soon
Optics
Mesoscale and Nanoscale Physics
Chaotic Dynamics
Optical bistability and oscillating phases exist in a Sagnac interferometer and a single ring resonator made of $χ^{(3)}$ nonlinear medium where the refractive indices are modulated by the light intensity due to the Kerr nonlinearity. An array of coupled nonlinear ring resonators behave similarly but with more complexity due to the presence of the additional couplings. Here, we theoretically demonstrate the bifurcation of edge modes which leads to optical bistability in the Su-Schrieffer-Heeger lattice with the Kerr nonlinearity. Additionally, we demonstrate periodic and chaotic switching behaviors in an oscillating phase resulting from the coupling between the edge mode and bulk modes with different chiralities, i.e., clockwise and counter-clockwise circulations.
title Asymmetrical temporal dynamics of edge modes in Su-Schrieffer-Heeger lattice with Kerr nonlinearity
topic Optics
Mesoscale and Nanoscale Physics
Chaotic Dynamics
url https://arxiv.org/abs/2403.00538