Dark solitons in atomic Bose-Einstein condensates: from theory to experiments

2010/04/23 by D. J. Frantzeskakis · 1 citation
Physics and Astronomy · #cond-mat.quant-gas #nlin.PS

paper · pdf · doi:10.1088/1751-8113/43/21/213001

82 pages, 13 figures. To appear in J. Phys. A: Math. Theor.

arxiv created 2010/04/23 · arxiv updated 2015/05/18

Abstract

This review paper presents an overview of the theoretical and experimental progress on the study of matter-wave dark solitons in atomic Bose-Einstein condensates. Upon introducing the general framework, we discuss the statics and dynamics of single and multiple matter-wave dark solitons in the quasi one-dimensional setting, in higher-dimensional settings, as well as in the dimensionality crossover regime. Special attention is paid to the connection between theoretical results, obtained by various analytical approaches, and relevant experimental observations.

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• Long-time asymptotics of a full arbitrary-genus dark soliton gas for the defocusing nonlinear Schrodinger equation

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