Nonperiodic Oscillation of Bright Solitons in Condensates with a Periodically Oscillating Harmonic Potential 10.5560/ZNA.2012-0085

Bright Solitons in Bose-Einstein Condensates

It is a well-known fact that the interplay of nonlinearity and dispersion leads to the appearance of localized wavepackets moving without distortion. When the interaction between atoms is attractive (resp. repulsive), bright (resp. dark) solitons can be generated in BEC. Note that the term soliton is usually reserved to the localized solution of an integrable system [1]. Elastic scattering is a...

Bright vortex solitons in Bose Condensates

We suggest the possibility of observing and studying bright vortex solitons in attractive Bose-Einstein condensates in three dimensions with a radial trap. Such systems lie on the verge of critical stability and we discuss the conditions of their stability. We study the interaction between two such solitons. Unlike the text-book solitons in one dimension, the interaction between two radially tr...

Dark-Bright Ring Solitons in Bose-Einstein Condensates

Dark-bright solitons and vortices in Bose-Einstein condensates

DARK-BRIGHT SOLITONS AND VORTICES IN BOSE-EINSTEIN CONDENSATES MAY 2014 DONG YAN B.S., ZHEJIANG UNIVERSITY, CHINA M.S., UNIVERSITY OF MASSACHUSETTS AMHERST Ph.D., UNIVERSITY OF MASSACHUSETTS AMHERST Directed by: Professor Panayotis G. Kevrekidis This dissertation focuses on the properties of nonlinear waves in Bose-Einstein condensates (BECs). The fundamental model here is the nonlinear Schrödi...

Multiple dark-bright solitons in atomic Bose-Einstein condensates

D. Yan,1 J. J. Chang,2 C. Hamner,2 P. G. Kevrekidis,1 P. Engels,2 V. Achilleos,3 D. J. Frantzeskakis,3 R. Carretero-González,4,* and P. Schmelcher5 1Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA 2Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164, USA 3Department of Physics, University of At...