Theory of Multidimensional Solitons
arXiv:0705.1139 · doi:10.1007/978-3-540-73591-5_7
Abstract
We review a number of topics germane to higher-dimensional solitons in Bose-Einstein condensates. For dark solitons, we discuss dark band and planar solitons; ring dark solitons and spherical shell solitons; solitary waves in restricted geometries; vortex rings and rarefaction pulses; and multi-component Bose-Einstein condensates. For bright solitons, we discuss instability, stability, and metastability; bright soliton engineering, including pulsed atom lasers; solitons in a thermal bath; soliton-soliton interactions; and bright ring solitons and quantum vortices. A thorough reference list is included.
review paper, to appear as Chapter 5a in "Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment," edited by P. G. Kevrekidis, D. J. Frantzeskakis, and R. Carretero-Gonzalez (Springer-Verlag)
References in corpus (14)
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Deviation from one-dimensionality in stationary properties and collisional dynamics of matter-wave solitons
- Spontaneous spin textures in dipolar spinor condensates
- Bright Matter-Wave Soliton Collisions in a Harmonic Trap: Regular and Chaotic Dynamics
- Friction and diffusion of matter-wave bright solitons
- Analysis of an atom laser based on the spatial control of the scattering length
- Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate
- Quantum depletion of collapsing Bose-Einstein condensates
- Anomalous translational velocity of vortex ring with finite-amplitude Kelvin waves
- Collapsing Bose-Einstein condensates beyond the Gross-Pitaevskii approximation
- Stable Skyrmions in spinor condensates
- Vortex structure in spinor F=2 Bose-Einstein condensates
- Partially incoherent gap solitons in Bose-Einstein condensates
- A ring accelerator for matter-wave solitons