Publications by the Laboratory of Theoretical Physics

Dynamics of bright matter waves solitons in Bose-Einstein condensate with inhomogeneous scattering length, F. Kh. Abdullaev, A. Gammal and L. Tomio, J. of Phys. B 37, 635–651 (2004).   [PDF-file  (266 kB)] Abstract: We investigate dynamical effects of a bright soliton inBose–Einstein condensed (BEC) systems with local and smooth space variations of the two-body atomic scattering length. It includes a discussion about the possible observation of a new type of standing nonlinear atomic matter wave in cigar-type traps. A rich dynamics is observed in the interaction between the soliton and an inhomogeneity. By considering an analytical time-dependent variational approach and also full numerical simulation of one-dimensional and threedimensional Gross–Pitaevskii equations, we study processes such as trapping, reflection and transmission of the bright matter soliton due to the impurity. We also derive conditions for the collapse of the bright solitary wave, considering a quasi-one-dimensional BEC with attractive local inhomogeneity. 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.