279 citations · 2.2k across the 34 of their papers we have counts for
34 papers
Zak Phase Dislocations in Trimer Lattices
Tileubek Uakhitov, Abdybek Urmanov, Serik E. Kumekov +1
Wave propagation in periodic media is governed by energy-momentum relation and geometric phases characterizing band topology, such as Zak phase in one-dimensional lattices. We demo…
Solitons with rings and vortex rings on solitons in nonlocal nonlinear media
V. M. Biloshytskyi, A. O. Oliynyk, P. M. Kruglenko +2
Nonlocality is a key feature of many physical systems since it prevents a catastrophic collapse and a symmetry-breaking azimuthal instability of intense wave beams in a bulk self-f…
Slow phonon vortices and defect modes in periodic nano-waveguides
Yue Sun, Anton S. Desyatnikov, Andrey A. Sukhorukov
We identify a broad class of phonon modes with persistent vortex fluxes at arbitrarily slow propagating velocities in periodic nano-waveguides. Such phonon vortices are associated…
Conical intersections for light and matter waves
Daniel Leykam, Anton S. Desyatnikov
We review the design, theory, and applications of two dimensional periodic lattices hosting conical intersections in their energy-momentum spectrum. The best known example is the D…
Localization of weakly disordered flat band states
Daniel Leykam, Joshua D. Bodyfelt, Anton S. Desyatnikov +1
Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their origin is rooted in local symmetries of the lattice, with destructive interference leading…
Lattice topology and spontaneous parametric down-conversion in quadratic nonlinear waveguide arrays
Daniel Leykam, Alexander S. Solntsev, Andrey A. Sukhorukov +1
We analyze spontaneous parametric down-conversion in various experimentally feasible 1D quadratic nonlinear waveguide arrays, with emphasis on the relationship between the lattice'…