2008/06/23 by Biao Li, Xiao-Fei Zhang, Yuqi Li +4 · 2 citations
Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Excited state #Nonlinear system #Oscillation (cell signaling) #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scattering #Soliton #Strong Light-Matter Interactions #cond-mat.other
paper · pdf · doi:10.1103/physreva.78.023608
8 pages, 5 figures
arxiv created 2008/06/23 · openalex publication_date 2008/08/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present two families of analytical solutions of the one-dimensional nonlinear Schr"odinger equation, which describe the dynamics of bright and dark solitons in Bose-Einstein condensates (BECs) with the time-dependent interatomic interaction in an expulsive parabolic and complex potential. We also demonstrate that the lifetime of both a bright soliton and a dark soliton in BECs can be extended by reducing both the ratio of the axial oscillation frequency to radial oscillation frequency and the loss of atoms. It is interesting that a train of bright solitons may be excited with a strong enough background. An experimental protocol is further designed for observing this phenomenon.