title: Creation of vortices by torque in multidimensional media with inhomogeneous defocusing nonlinearity.
abstract: Recently, a new class of nonlinear systems was introduced, in which the self-trapping of fundamental and vortical localized modes in space of dimension D is supported by cubic self-repulsion with a strength growing as a function of the distance from the center, r, at any rate faster that r(D). These systems support robust 2D and 3D modes which either do not exist or are unstable in other nonlinear systems. Here we demonstrate a possibility to create solitary vortices in this setting by applying a phase-imprinting torque to the ground state. Initially, a strong torque completely destroys the ground state. However, contrary to usual systems, where the destruction is irreversible, the present ones demonstrate a rapid restabilization and the creation of one or several shifted vortices orbiting the center. For the sake of comparison, we show analytically that, in the linear system with a 3D trapping potential, the action of a torque on the ground state is inefficient and creates only even-vorticity states with a small probability.
authors: 1] Department of Physics &CeOPP, University of Paderborn, Warburger Straβe 100, D-33098 Paderborn, Germany [2] ITMO University, 49 Kronverskii Ave., St. Petersburg 197101, Russian Federation.
authors: Rodislav
authors: R
authors: Driben
authors: Department of Physics &CeOPP, University of Paderborn, Warburger Straβe 100, D-33098 Paderborn, Germany.
authors: Torsten
authors: T
authors: Meier
authors: Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel.
authors: Boris A
authors: BA
authors: Malomed