Abstract
We investigate the destiny of a gray soliton in a repulsive one-dimensional Bose-Einstein condensate undergoing a sudden quench of the nonlinearity parameter. The outcome of the quench is found to depend dramatically on the ratio of the final and initial values of the speed of sound. For integer the soliton splits into exactly solitons. For noninteger the soliton decays into multiple solitons and Bogoliubov modes. The case of integer is analyzed in detail. The parameters of solitons in the out state are found explicitly. Our approach exploits the inverse scattering method and can be easily used for similar quenches in any classical integrable system.
- Received 22 August 2014
DOI:https://doi.org/10.1103/PhysRevA.91.031605
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