Dark solitons in atomic Bose–Einstein condensates: from theory to experiments
By Dimitri J. Frantzeskakis. 2010
506 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/2607f6c3dd31264a88c3c8971754e906dd5c9563
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- (INVITED) Vortex solitons: Old results and new perspectives (2019, background): “The largest share of these works have been dealing with one-dimensional (1D) solitons [2, 3], the dominant areas in current studies of solitons being nonlinear optics [2] and Bose-Einstein condensates (BECs) in ultracold atomic gases [5–10].”
- Multiple positive normalized solutions for nonlinear Schrödinger systems (2017, background): “3) modeling the Bose–Einstein condensates with multiple states, or the propagation of mutually incoherent waves packets in nonlinear optics, see [1, 16, 17, 37].”
- A natural constraint approach to normalized solutions of nonlinear Schr\"odinger equations and systems (2016, unknown): “ent wavepacketsin nonlinearoptics, aremodeled by the system ofcouplednonlinear Schr¨odinger equations (1.1) ( −ι∂tΦ1 = ∆Φ1 + µ1|Φ1|2Φ1 +β|Φ2|2Φ1 −ι∂tΦ2 = ∆Φ2 + µ2|Φ2|2Φ2 +β|Φ1|2Φ2 t,x∈ R×RN, see e.g. [1,17,19,30,52]. In the models, Φi is the wave function of the i-th component, the dimension of the ”
- Positive Least Energy Solutions and Phase Separation for Coupled Schrödinger Equations with Critical Exponent (2012, background): “We refer for this to [2, 19, 20, 23], which also contain information about the physical relevance of non-cubic nonlinearities.”