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Vortices In Bose-Einstein Condensates: Some Recent Developments, Panos Kevrekidis, R. Carretero-Gonzalez, D. J. Frantzeskakis, I. G. Kevrekidis

Panos Kevrekidis

In this brief review we summarize a number of recent developments in the study of vortices in Bose-Einstein condensates, a topic of considerable theoretical and experimental interest in the past few years. We examine the generation of vortices by means of phase imprinting, as well as via dynamical instabilities. Their stability is subsequently examined in the presence of purely magnetic trapping, and in the combined presence of magnetic and optical trapping. We then study pairs of vortices and their interactions, illustrating a reduced description in terms of ordinary differential equations for the vortex centers. In the realm of two vortices …