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High-Velocity and Quantam Hall Regime

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Vortices in Bose—Einstein Condensates

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 67))

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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.

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© 2006 Birkhäuser Boston

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(2006). High-Velocity and Quantam Hall Regime. In: Vortices in Bose—Einstein Condensates. Progress in Nonlinear Differential Equations and Their Applications, vol 67. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4492-X_5

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