Solitons in Bose-Einstein Condensates with time-dependent atomic scattering length in an expulsive parabolic and complex potential

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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8 pages, 5 figures

Scientific paper

10.1103/PhysRevA.78.023608

We present two families of analytical solutions of the one-dimensional nonlinear Schr\"{o}dinger 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 interested that a train of bright solitons may be excited with a strong enough background. An experimental protocol is further designed for observing this phenomenon.

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