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Nonlinear Schrödinger equations with amplitude-dependent Wadati potentials
Dmitry A. Zezyulin
Complex Wadati-type potentials of the form , where is a real-valued function, are known to possess a number of intriguing features, unusual for gener…
Bright and dark solitons in the systems with strong light-matter coupling: exact solutions and numerical simulations
A. V. Yulin, D. A. Zezyulin
We theoretically study bright and dark solitons in an experimentally relevant hybrid system characterized by strong light-matter coupling. We find that the corresponding two-compon…
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…
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…
Floquet engineering of excitons in semiconductor quantum dots
I. V. Iorsh, D. A. Zezyulin, S. A. Kolodny +2
Within the Floquet theory of periodically driven quantum systems, we demonstrate that a high-frequency electromagnetic field can be used as an effective tool to control excitonic p…