The fate of a gray soliton in a quenched Bose-Einstein condensate

Abstract

We investigate the destiny of a gray soliton in a repulsive one-dimensional Bose-Einstein condensate undergoing a sudden quench of the non-linearity parameter. The outcome of the quench is found to depend dramatically on the ratio $\eta$ of the final and initial values of the speed of sound. For integer $\eta$ the soliton splits into exactly $2\eta -1$ solitons. For non-integer $\eta$ the soliton decays into multiple solitons and Bogoliubov modes. The case of integer $\eta$ 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 the similar quenches in any classical integrable system.

4+epsilon pages, 2 figures

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Experimental observation of oscillating and interacting matter wave dark solitons
• Matter-wave solitons with a periodic, piecewise-constant nonlinearity
• Topological Blocking in Quantum Quench Dynamics

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• Interplay of Solitons and Radiation in One-Dimensional Bose Gases
• Observation of self-patterned defect formation in atomic superfluids -- from ring dark solitons to vortex dipole necklaces
• Soliton splitting in quenched classical integrable systems
• Quench-produced solitons in a box-trapped Bose-Einstein condensate
• Kink-like Solitons in Quantum Droplet
• Dynamical nonlinear excitations induced by interaction quench in a two-dimensional box-trapped Bose-Einstein condensate