Dynamical formation and interaction of bright solitary waves and solitons in the collapse of Bose-Einstein condensates with attractive interactions
arXiv:0812.0493 · doi:10.1088/1367-2630/11/5/053017
Abstract
We model the dynamics of formation of multiple, long-lived, bright solitary waves in the collapse of Bose-Einstein condensates with attractive interactions as studied in the experiment of Cornish et al. [Phys. Rev. Lett. 96 (2006) 170401]. Using both mean-field and quantum field simulation techniques, we find that while a number of separated wave packets form as observed in the experiment, they do not have a repulsive πphase difference that has been previously inferred. We observe that the inclusion of quantum fluctuations causes soliton dynamics to be predominantly repulsive in one dimensional simulations independent of their initial relative phase. However, indicative three-dimensional simulations do not support this conclusion and in fact show that quantum noise has a negative impact on bright solitary wave lifetimes. Finally, we show that condensate oscillations, after the collapse, may serve to deduce three-body recombination rates, and that the remnant atom number may still exceed the critical number for collapse for as long as three seconds independent of the relative phases of the bright solitary waves.
14 pages, 5 figures
References in corpus (11)
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Quantum turbulence and correlations in Bose-Einstein condensate collisions
- Bose-Einstein condensate collapse: a comparison between theory and experiment
- Evolution of the macroscopically entangled states in optical lattices
- Collisions of bright solitary matter waves
- Quantum depletion of collapsing Bose-Einstein condensates
- Three-body recombination of ultracold Bose gases using the truncated Wigner method
- Collapsing Bose-Einstein condensates beyond the Gross-Pitaevskii approximation
- Bright solitary waves and trapped solutions in Bose-Einstein condensates with attractive interactions
- Convergence rate of dimension reduction in Bose-Einstein condensates
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