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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…
Superexponential amplification, power blowup, and solitons sustained by non-Hermitian gauge potentials
Dmitry A. Zezyulin, Yaroslav V. Kartashov, Vladimir V. Konotop
We introduce a continuous one-dimensional non-Hermitian matrix gauge potential and study its effect on dynamics of a two-component field. The model is emulated by a system of evane…
Quartic asymmetric exchange for two-dimensional ferromagnets with trigonal prismatic symmetry
I. A. Ado, Gulnaz Rakhmanova, Dmitry A. Zezyulin +2
We suggest a possible origin of noncollinear magnetic textures in ferromagnets (FMs) with the point group symmetry. The suggested mechanism is different from the Dzyaloshi…
Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
Chao Hang, Dmitry A. Zezyulin, Guoxiang Huang +1
We propose a scheme comprising an array of anisotropic optical waveguides, embedded in a gas of cold atoms, which can be tuned from a Hermitian to an odd-PT -- symmetric configurat…
Metastable two-component solitons near an exceptional point
Dmitry A. Zezyulin, Yaroslav V. Kartashov, Vladimir V. Konotop
We consider a two-dimensional nonlinear waveguide with distributed gain and losses. The optical potential describing the system consists of an unperturbed complex potential dependi…
On non-existence of continuous families of stationary nonlinear modes for a class of complex potentials
Dmitry A. Zezyulin, Alexander O. Slobodyanyuk, Georgy L. Alfimov
There are two cases when the nonlinear Schrödinger equation (NLSE) with an external complex potential is well-known to support continuous families of localized stationary modes: th…