56 citations · 183 across the 8 of their papers we have counts for
8 papers
Dynamical stabilization by vacuum fluctuations in a cavity: Resonant electron scattering in the ultrastrong light-matter coupling regime
D. A. Zezyulin, S. A. Kolodny, O. V. Kibis +2
We developed a theory of electron scattering by a short-range repulsive potential in a cavity. In the regime of ultrastrong electron coupling to the cavity electromagnetic field, t…
Dynamical design of spatial patterns of colloidal suspensions
N. A. M. Araujo, D. A. Zezyulin, V. V. Konotop +1
We study the collective dynamics of colloidal suspensions in the presence of a time-dependent potential, by means of dynamical density functional theory. We consider a non-linear d…
Jamming anomaly in -symmetric systems
I. V. Barashenkov, Dmitry A. Zezyulin, Vladimir V. Konotop
The Schrödinger equation with a -symmetric potential is used to model an optical structure consisting of an element with gain coupled to an element with loss. At low…
Supercritical blowup in coupled parity-time-symmetric nonlinear Schrödinger equations
João-Paulo Dias, Mário Figueira, Vladimir V. Konotop +1
We prove finite time supercritical blowup in a parity-time-symmetric system of the two coupled nonlinear Schrödinger (NLS) equations. One of the equations contains gain and the oth…
Nonlinear modes in a generalized -symmetric discrete nonlinear Schrödinger equation
Dmitry E. Pelinovsky, Dmitry A. Zezyulin, Vladimir V. Konotop
We generalize a finite parity-time (-) symmetric network of the discrete nonlinear Schrödinger type and obtain general results on linear stability of the zero equilibriu…
-symmetric coupler with nonlinearity
K. Li, D. A. Zezyulin, P. G. Kevrekidis +2
We introduce the notion of a -symmetric dimer with a nonlinearity. Similarly to the Kerr case, we argue that such a nonlinearity should be accessible in a pair…