Chapter

Vortices in Bose—Einstein Condensates

Volume 67 of the series Progress in Nonlinear Differential Equations and Their Applications pp 99-121

High-Velocity and Quantam Hall Regime

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Abstract

When the velocity gets large, the size of the condensate and the number of vortices increase: a dense lattice is observed [1, 47, 58, 141], referred to as an Abrikosov lattice due to the analogy with superconductors. The description of the vortex lattice at high rotational velocity has been the focus of very recent papers of HO [79] and very recently by [64, 27, 49, 154, 147]. Our aim is to provide mathematical insight into the lattice pattern.