Vortex Rings and Lieb Modes in a Cylindrical Bose-Einstein Condensate
arXiv:cond-mat/0202182 · doi:10.1103/PhysRevLett.89.070402
Abstract
We present a calculation of a solitary wave propagating along a cylindrical Bose-Einstein trap, which is found to be a hybrid of a one-dimensional (1D) soliton and a three-dimensional (3D) vortex ring. The calculated energy-momentum dispersion exhibits characteristics similar to those of a mode proposed sometime ago by Lieb within a 1D model, as well as some rotonlike features.
4 pages, 4 figures
Cited by in corpus (31)
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- One-dimensional Bosons in Three-dimensional Traps
- Nonlinear Resonant Transport of Bose Einstein Condensates
- Soliton-sound interactions in quasi-one-dimensional Bose-Einstein condensates
- Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate
- Three-Dimensional Solitary Waves and Vortices in a Discrete Nonlinear Schr{ö}dinger Lattice
- Chladni solitons and the onset of the snaking instability for dark solitons in confined superfluids
- The dynamics of quantum vortices in a toroidal trap
- Lieb-Liniger model: emergence of dark solitons in the course of measurements of particle positions
- Collisions of solitons and vortex rings in cylindrical Bose-Einstein condensates
- Nonlinear waves in a cylindrical Bose-Einstein condensate
- A density-functional approach to fermionization in the 1D Bose gas
- Single-shot simulations of dynamics of quantum dark solitons
- Stability and dispersion relations of three-dimensional solitary waves in trapped Bose-Einstein condensates
- Dark solitons dynamics and snake instability in superfluid Fermi gases trapped by an anisotropic harmonic potential
- Vortex Rings in two Component Bose-Einstein Condensates
- Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases
- Quantum dark solitons in Bose gas confined in a hard wall box
- Dimensional reduction in Bose-Einstein condensed clouds of atoms confined in tight potentials of any geometry and any interaction strength
- Solitary waves in mixtures of Bose gases confined in annular traps
- Bell Soliton in Ultra-cold Atomic Fermi Gas
- Dimensional Effects on Solitonic Matter and Optical Waves with Normal and Anomalous Dispersion
- Symmetry-breaking instability of leapfrogging vortex rings in a Bose-Einstein condensate
- Solitary waves in elongated clouds of strongly-interacting bosons
- Topology of Quantum Grey Soliton in Multi-Component Inhomogeneous Bose-Einstein Condensates
- Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
- Theory of Multidimensional Solitons
- Nonequilibrium properties of an atomic quantum dot coupled to a Bose-Einstein condensate
- Measurement of one-dimensional matter-wave quantum breather
- Perturbation-induced defects in trapped superfluids exhibit generic behavior
- Drag-induced dynamical formation of dark solitons in Bose mixture on a ring