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Fujishima, Hironobu*; Okumura, Masahiko; Mine, Makoto*; Yajima, Tetsu*
Journal of the Physical Society of Japan, 81(10), p.104003_1 - 104003_7, 2012/10
Times Cited Count:1 Percentile:10.8(Physics, Multidisciplinary)We propose an indirect method for observing radiation from an incomplete soliton with a 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 the interference between the main body of oscillating solitons and the small radiation in the momentum space. We numerically integrate the nonlinear Schrdinger equation and perform Fourier transformation to confirm that the predicted structure really appears. We also show a simple model which reproduces the qualitative result. The experimental detection of the notched structure with the Bose-Einstein condensation of neutral atoms is discussed and suitable parameters for this detection experiment are shown.
Fujishima, Hironobu*; Mine, Makoto*; Okumura, Masahiko; Yajima, Tetsu*
Journal of the Physical Society of Japan, 80(8), p.084003_1 - 084003_7, 2011/08
Times Cited Count:2 Percentile:20.16(Physics, Multidisciplinary)Potential scattering problems governed by the time-dependent Gross-Pitaevskii equation are investigated numerically for various values of coupling constants. The initial condition is assumed to have the Gaussian-type envelope, which differs from the soliton solution. The potential is chosen to be a box or well type. We estimate the dependences of reflectance and transmittance on the width of the potential and compare these results with those given by the stationary Schrdinger equation. We attribute the behaviors of these quantities to the limitation on the width of the nonlinear wave packet. The coupling constant and the width of the potential play an important role in the distribution of the waves appearing in the final state of scattering.