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Towards the complete description of stationary states of a Bose-Einstein condensate in a one-dimensional quasiperiodic lattice: A coding approach
G. L. Alfimov, A. P. Fedotov, Ya. A. Murenkov +1
We consider stationary states of an effectively one-dimensional Bose-Einstein condensate in a quasiperiodic lattice. We formulate sufficient conditions for a one-to-one corresponde…
Transverse instability of hybrid solitons in the strong light-matter coupling regime
Alexey V. Yulin, Dmitry A. Zezyulin
We investigate the transverse instability of two-component solitons forming in a planar waveguide operating in the regime of strong light-matter coupling. The instability emerges a…
Formation of nonlinear modes in one-dimensional quasiperiodic lattices with a mobility edge
Dmitry A. Zezyulin, Georgy L. Alfimov
We investigate the formation of steady states in one-dimensional Bose-Einstein condensates of repulsively interacting ultracold atoms loaded into a quasiperiodic potential created…
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…
Perfectly absorbed and emitted currents by complex potentials in nonlinear media
Dmitry A. Zezyulin, Vladimir V. Konotop
Recently it was demonstrated that the concept of a spectral singularity (SS) can be generalized to waves propagating in nonlinear media, like matter waves or electromagnetic waves…