Observation of Floquet solitons in a topological bandgap

Sebabrata Mukherjee, Mikael C. Rechtsman

Research output: Contribution to journalArticlepeer-review

202 Scopus citations


Topological protection is a universal phenomenon that applies to electronic, photonic, ultracold atomic, mechanical, and other systems. The vast majority of research in these systems has explored the linear domain, where interparticle interactions are negligible. We experimentally observed solitons—waves that propagate without changing shape as a result of nonlinearity—in a photonic Floquet topological insulator. These solitons exhibited distinct behavior in that they executed cyclotron-like orbits associated with the underlying topology. Specifically, we used a waveguide array with periodic variations along the waveguide axis, giving rise to nonzero winding number, and the nonlinearity arose from the optical Kerr effect. This result applies to a range of bosonic systems because it is described by the focusing nonlinear Schrödinger equation (equivalently, the attractive Gross-Pitaevskii equation).

Original languageEnglish (US)
Pages (from-to)856-859
Number of pages4
Issue number6493
StatePublished - May 22 2020

All Science Journal Classification (ASJC) codes

  • General


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