Decay of Resonance Structure and Trapping Effect in Potential Scattering Problem of Self-Focusing Wave Packet

作者：Fujishima Hironobu^*; Mine Makoto; Okumura Masahiko; Yajima Tetsu

来源：Journal of the Physical Society of Japan, 2011, 80(8): 084003.

DOI：10.1143/JPSJ.80.084003

• Gross-Pitaevskii equation
• nonlinear Schrodinger equation
• potential scattering
• Gaussian initial condition
• numerical analysis
• Bose-Einstein condensation

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 Schrodinger 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.

• 出版日期2011-8