Interference Pattern Formation between Bounded-Solitons and Radiation in Momentum Space: Possible Detection of Radiation from Bounded-Solitons with Bose-Einstein Condensate of Neutral Atoms
arXiv:1203.5907 · doi:10.1143/JPSJ.81.104003
Abstract
We propose an indirect method to observe radiation from an incomplete soliton with sufficiently large amplitude. We show that the radiation causes a notched structure on the envelope of the wave packet in the momentum space. The origin of this structure is a result of interference between the main body of oscillating solitons and the small radiation in the momentum space. We numerically integrate the nonlinear Schrödinger equation and perform Fourier transformation to confirm that the predicted structure really appears. We also show the simple model which reproduces the qualitative result. Experimental detection of the notched structure with Bose-Einstein condensation of neutral atoms is discussed and suitable parameters for this detection experiment are shown.
arXiv comment10 figures
References in corpus (7)
- Theory of Bose-Einstein condensation in trapped gases
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Dark Solitons in Bose-Einstein Condensates
- Bright solitary waves and trapped solutions in Bose-Einstein condensates with attractive interactions
- Semiclassical dynamics of quasi-one-dimensional, attractive Bose-Einstein condensates
- Decay of Resonance Structure and Trapping Effect in Potential Scattering Problem of Self-Focusing Wave Packet