2021
DOI: 10.1103/physrevlett.127.184101
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Dynamically Emerging Topological Phase Transitions in Nonlinear Interacting Soliton Lattices

Abstract: We demonstrate dynamical topological phase transitions in evolving Su-Schrieffer-Heeger (SSH) lattices made of interacting soliton arrays, which are entirely driven by nonlinearity and thereby exemplify emergent nonlinear topological phenomena. The phase transitions occur from topologically trivial-to-nontrivial phase in periodic succession with crossovers from topologically nontrivial-totrivial regime. The signature of phase transition is gap-closing and re-opening point, where two extended states are pulled … Show more

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Cited by 13 publications
(5 citation statements)
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“…In this work we report the experimental observation of nonlinearity-controlled switching between the edge states arising in two dimerized Su-Schrieffer-Heeger [73] topological waveguide arrays brought into close proximity. Each array, when properly truncated, can support solitons bifurcating from edge states in the topological bandgap, as realized theoretically [74][75][76][77][78][79] and experimentally [80][81][82][83]. Here we observe experimentally that when two of such arrays approach each other, the overlap of the modal fields for the topological states causes their periodic switching between the arrays, with a switching rate that depends on the intensity of the input beam and on the separation between the arrays.…”
supporting
confidence: 56%
“…In this work we report the experimental observation of nonlinearity-controlled switching between the edge states arising in two dimerized Su-Schrieffer-Heeger [73] topological waveguide arrays brought into close proximity. Each array, when properly truncated, can support solitons bifurcating from edge states in the topological bandgap, as realized theoretically [74][75][76][77][78][79] and experimentally [80][81][82][83]. Here we observe experimentally that when two of such arrays approach each other, the overlap of the modal fields for the topological states causes their periodic switching between the arrays, with a switching rate that depends on the intensity of the input beam and on the separation between the arrays.…”
supporting
confidence: 56%
“…Among the simplest models admitting the formation of the 1D edge solitons bifurcating from linear edge states are dimerized Su-Schrieffer-Heeger lattices [47]. Nonlinear topological states in such lattices have been studied theoretically in [48][49][50][51][52][53][54] and observed experimentally in electric circuits [24], topological fiber loops [55], polariton condensates [13,56] and, in the weakly nonlinear regime, in photonic lattices [57,58]. However, most experiments with weakly nonlinear edge states and edge solitons were performed in structures with a single topological bandgap, admitting the formation of edge solitons of only one type.…”
mentioning
confidence: 99%
“…[395][396][397][398] Therefore, non-linearity appears as a convenient tool enabling the tuning of the properties of excitations in topological systems. [399][400][401][402][403][404][405][406][407] A non-linear resonant unit based on the active control of the external circuit can realize directional long-range WPT with active control and robustness. The experimental device for actively controlling directional WPT measurements is shown in Figure 17.…”
Section: ) C)mentioning
confidence: 99%