Self-induced topological transitions and edge states supported by nonlinear staggered potentials

Hadad, Yakir; Khanikaev, Alexander B.; Alù, Andrea

doi:10.1103/physrevb.93.155112

Cited by 197 publications

(182 citation statements)

References 49 publications

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“…[15] illustrates that longitudinal oscillations of waveguides introduce strong radiative losses leading to notable reduction of peak power already after traversing of ten sites of the structure. We should also mention here a paper linking topology and nonlinearity in a one dimensional dimer chain [16].…”

Section: Introductionmentioning

confidence: 99%

Modulational instability and solitary waves in polariton topological insulators

Kartashov

Skryabin

2016

Optica

153

146

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lar. Energy bands of the microcavity polariton graphene are readily controlled by magnetic field and influenced by the spin-orbit coupling effects, a combination leading to formation of linear unidirectional edge states in polariton topological insulators as predicted very recently. In this work we depart from the linear limit of non-interacting polaritons and predict instabilities of the nonlinear topological edge states resulting in formation of the localized topological quasisolitons, which are exceptionally robust and immune to backscattering wavepackets propagating along the graphene lattice edge. Our results provide a background for experimental studies of nonlinear polariton topological insulators and can influence other subareas of photonics and condensed matter physics, where nonlinearities and spin-orbit effects are often important and utilized for applications.

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Section: Introductionmentioning

confidence: 99%

Modulational instability and solitary waves in polariton topological insulators

Kartashov

Skryabin

2016

Optica

153

146

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“…Such solitons were previously discovered in the 1D nonlinear SSH model [42], as well as 2D continuum "Floquet topological insulator" models [40,43]. Here, we have shown that the nonlinear SSH soliton is useful for optical isolation, and moreover that topological solitons also occur in two new 2D models-nonlinear versions of the Haldane model [28] and the coupled-ring lattice [32,34,37,38,57].…”

Section: Discussionmentioning

confidence: 69%

“…The regime of high nonlinear transmittance is due to the self-induced edge soliton described by Hadad et al [42]. This is a nonlinear mode that inherits some properties of the linear SSH model's edge state, such as leaving the b n sites unexcited.…”

Section: Nonlinear Coupled Waveguide Arrays: 1d Ssh Modelmentioning

confidence: 99%

“…Without loss of generality, we set α = 1 (other values are equivalent up to a rescaling of intensities). The nonlinearity allows for the possibility of a selfinduced topological transition [42]. Suppose we prepare an initial state by exciting just the left edge waveguide with input power I = |a 0 (0)| 2 .…”

Section: Nonlinear Coupled Waveguide Arrays: 1d Ssh Modelmentioning

confidence: 99%

“…We begin with an exemplary waveguide array corresponding to a 1D SSH model [27], with Kerr-like nonlinearities added to the inter-waveguide coupling strengths. Hadad, Khanikaev, and Alù have shown that such a model can exhibit a self-induced topological transition [42], in which the nonlinearity drives a local region of the lattice into a different topological phase, giving rise to self-trapped soliton-like edge states. These nonlinear edge states allow a high-intensity signal injected in a edge waveguide to resist diffraction into the rest of the lattice.…”

Section: Introductionmentioning

confidence: 99%

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Optical Isolation with Nonlinear Topological Photonics

Zhou

Wang

Leykam

et al. 2017

Frontiers in Optics 2017

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It is shown that the concept of topological phase transitions can be used to design nonlinear photonic structures exhibiting power thresholds and discontinuities in their transmittance. This provides a novel route to devising nonlinear optical isolators. We study three representative designs: (i) a waveguide array implementing a nonlinear 1D Su-Schrieffer-Heeger (SSH) model, (ii) a waveguide array implementing a nonlinear 2D Haldane model, and (iii) a 2D lattice of coupled-ring waveguides. In the first two cases, we find a correspondence between the topological transition of the underlying linear lattice and the power threshold of the transmittance, and show that the transmission behavior is attributable to the emergence of a self-induced topological soliton. In the third case, we show that the topological transition produces a discontinuity in the transmittance curve, which can be exploited to achieve sharp jumps in the power-dependent isolation ratio.

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Applications of Topological Photonics in Integrated Photonic Devices

et al. 2017

Advanced Optical Materials

140

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Topological photonics is an emerging field of research, which is inspired by the discovery of topological insulators. The introduction of topology endows traditional photonic systems with brand new properties, including unidirectional propagating edge states and robustness against impurities or defect without backscattering. With the further development of theoretical research on topological photonics, many new photonic devices have been proposed and experimentally demonstrated, showing its broad prospects in constructing high‐performance integrated photonic chips. Topology, as a new research perspective in photonics, is expected to bring about remarkable changes to the field of integrated photonic devices and optical interconnection. This review summarizes the fundamental realization principles of topology in photonic systems, comparison of topology in photonics and electronics, applications of topological photonics in integrated photonic devices and related optical effects. Finally, a brief outlook on the challenges and future development direction in the pursuit of the application of topological photonics in integrated photonic devices is provided.

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Self-induced topological transitions and edge states supported by nonlinear staggered potentials

Cited by 197 publications

References 49 publications

Modulational instability and solitary waves in polariton topological insulators

Modulational instability and solitary waves in polariton topological insulators

Optical Isolation with Nonlinear Topological Photonics

Applications of Topological Photonics in Integrated Photonic Devices

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