Localized Structures in Dissipative Nonlinear Systems - Abstract
Konotop, Vladimir
Controlled dissipation can be used as a tool for exploring fundamental phenomena and managing such different nonlinear systems as arrays of Bose-Einstein condensates and nonlinear optical waveguides. I start with a brief outline of several effects that can be induced by a localized dissipation (?dissipative defect?) in a BEC described in the mean-field approximation. The main attention, however, will be paid to the simplest boson-Josephson junction, i.e. a Bose-Einstein condensate in a double-well trap, subjected to removal of atoms from one of the two potential minima, as well as to its optical analogy ? a coupler with one of the channels characterized by strong losses. It will be shown that these systems allow one to observe such phenomena as the suppression of losses and the nonlinear Zeno effect. It will be also shown, that the controlled dissipation can be used to create desired macroscopic states of the condensate and to implement effective controlled switching of light between different channels in a coupler.