Please use this identifier to cite or link to this item: https://doi.org/10.1103/physrevresearch.3.043027
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dc.titleGradient catastrophe of nonlinear photonic valley-Hall edge pulses
dc.contributor.authorSmirnova, Daria A.
dc.contributor.authorSmirnov, Lev A.
dc.contributor.authorSmolina, Ekaterina O.
dc.contributor.authorAngelakis, Dimitris G.
dc.contributor.authorLeykam, Daniel
dc.date.accessioned2022-10-13T06:43:01Z
dc.date.available2022-10-13T06:43:01Z
dc.date.issued2021-10-11
dc.identifier.citationSmirnova, Daria A., Smirnov, Lev A., Smolina, Ekaterina O., Angelakis, Dimitris G., Leykam, Daniel (2021-10-11). Gradient catastrophe of nonlinear photonic valley-Hall edge pulses. Physical Review Research 3 (4) : 043027. ScholarBank@NUS Repository. https://doi.org/10.1103/physrevresearch.3.043027
dc.identifier.issn2643-1564
dc.identifier.urihttps://scholarbank.nus.edu.sg/handle/10635/233025
dc.description.abstractWe derive nonlinear wave equations describing the propagation of slowly varying wave packets formed by topological valley-Hall edge states. We show that edge pulses break up even in the absence of spatial dispersion due to nonlinear self-steepening. Self-steepening leads to the previously unattended effect of a gradient catastrophe, which develops in a finite time determined by the ratio between the pulse's nonlinear frequency shift and the size of the topological band gap. Taking the weak spatial dispersion into account results in the formation of stable edge quasisolitons. Our findings are generic to systems governed by Dirac-like Hamiltonians and validated by numerical modeling of pulse propagation along a valley-Hall domain wall in staggered honeycomb waveguide lattices with Kerr nonlinearity. © 2021 Published by the American Physical Society
dc.publisherAmerican Physical Society
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceScopus OA2021
dc.typeArticle
dc.contributor.departmentCENTRE FOR QUANTUM TECHNOLOGIES
dc.description.doi10.1103/physrevresearch.3.043027
dc.description.sourcetitlePhysical Review Research
dc.description.volume3
dc.description.issue4
dc.description.page043027
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