Publications by the Laboratory of Theoretical Physics

Effects of time-periodic linear coupling on two-component Bose-Einstein condensates in two dimensions, H. Susanto, P. Kevrekidis, B. A. Malomed, F. Kh. Abdullaev, Phys. Lett. A 372,1631-1638 (2008).     [PDF-file  (679 kB)] Abstract: We examine two-component Gross–Pitaevskii equations with nonlinear and linear couplings, assuming self-attraction in one species and selfrepulsion in the other, while the nonlinear inter-species coupling is also repulsive. For initial states with the condensate placed in the self-attractive component, a sufficiently strong linear coupling switches the collapse into decay (in the free space). Setting the linear-coupling coefficient to be time-periodic (alternating between positive and negative values, with zero mean value) can make localized states quasi-stable for the parameter ranges considered herein, but they slowly decay. The 2D states can then be completely stabilized by a weak trapping potential. In the case of the high-frequency modulation of the coupling constant, averaged equations are derived, which demonstrate good agreement with numerical solutions of the full equations. The papers have Copyright © by the corresponding publishers. The papers may be downloaded for personal use only. Any other use requires prior permission of the author and the publisher.