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Two-dimensional Thouless pumping of light in photonic moiré lattices
Peng Wang, Qidong Fu, Ruihan Peng +4
Continuous and quantized transports are profoundly different. The latter is determined by the global rather than local properties of a system, it exhibits unique topological featur…
Topological Floquet bound states in the continuum
Chunyan Li, Yaroslav V. Kartashov, Vladimir V. Konotop
A honeycomb array of helical waveguides with zigzag-zigzag edges and a refractive index gradient orthogonal to the edges may support Floquet bound states in continuum (BICs). The g…
Two-dimensional nonlinear Thouless pumping of matter waves
Qidong Fu, Peng Wang, Yaroslav V. Kartashov +2
We consider theoretically the nonlinear quantized Thouless pumping of a Bose-Einstein condensate loaded in a two-dimensional dynamical optical lattices. We encountered three differ…
Bose-Einstein condensates in quasi-periodic lattices: bosonic Josephson junction, self-trapping, and multi-mode dynamics
Henrique C. Prates, Dmitry A. Zezyulin, Vladimir V. Konotop
Bose-Einstein condensates loaded in one-dimensional bichromatic optical lattices with constituent sublattices having incommensurate periods is considered. Using the rational approx…
Vector valley Hall edge solitons in superhoneycomb lattices
Qian Tang, Yiqi Zhang, Yaroslav V. Kartashov +2
Topological edge solitons that bifurcate and inherit topological protection from linear edge states and, therefore, demonstrate immunity to disorder and defects upon propagation, a…
Localization of ultracold atoms in incommensurate spin-orbit-coupling and Zeeman lattices
Dmitry A. Zezyulin, Vladimir V. Konotop
We consider a particle governed by a one-dimensional Hamiltonian in which artificial periodic spin-orbit coupling and Zeeman lattice have incommensurate periods. Using best rationa…