Bright solitary waves of trapped atomic Bose-Einstein condensates
arXiv:0802.4275 · doi:10.1016/j.physd.2008.07.001
Abstract
Motivated by recent experimental observations, we study theoretically multiple bright solitary waves of trapped Bose-Einstein condensates. Through variational and numerical analyses, we determine the threshold for collapse of these states. Under -phase differences between adjacent waves, we show that the experimental states lie consistently at the threshold for collapse, where the corresponding in-phase states are highly unstable. Following the observation of two long-lived solitary waves in a trap, we perform detailed three-dimensional simulations which confirm that in-phase waves undergo collapse while a -phase difference preserves the long-lived dynamics and gives excellent quantitative agreement with experiment. Furthermore, intermediate phase differences lead to the growth of population asymmetries between the waves, which ultimately triggers collapse.
8 pages, 5 figures (low quality)
References in corpus (12)
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Stationary and non-stationary fluid flow of a Bose-Einstein condensate through a penetrable barrier
- Deviation from one-dimensionality in stationary properties and collisional dynamics of matter-wave solitons
- Bright Matter-Wave Soliton Collisions in a Harmonic Trap: Regular and Chaotic Dynamics
- Friction and diffusion of matter-wave bright solitons
- Collisions of bright solitary matter waves
- Quantum reflection of bright matter-wave solitons
- A Smooth, Inductively Coupled Ring Trap for Atoms
- Bright solitary waves and trapped solutions in Bose-Einstein condensates with attractive interactions
- Optimal trap shape for a Bose gas with attractive interactions
- Bright solitary waves of atomic Bose-Einstein condensates under rotation
Cited by in corpus (15)
- Formation of matter-wave soliton trains by modulational instability
- Controlled formation and reflection of a bright solitary matter-wave
- Sagnac Interferometry Using Bright Matter-Wave Solitons
- Bright matter-wave soliton collisions at narrow barriers
- Realizing bright matter-wave soliton collisions with controlled relative phase
- Quantum reflection of bright matter-wave solitons
- Splitting bright matter-wave solitons on narrow potential barriers: quantum to classical transition and applications to interferometry
- Cesium bright matter-wave solitons and soliton trains
- Engineering Bright Matter-Wave Solitons of Dipolar Condensates
- Variational determination of approximate bright matter-wave soliton solutions in anisotropic traps
- Collisions of solitary waves in condensates beyond mean-field theory
- p-Wave stabilization of three-dimensional Bose-Fermi solitons
- Hyper-entangling mesoscopic bound states
- The Wavefunction of the Collapsing Bose-Einstein Condensate
- Solitary waves explore the quantum-to-classical transition