Crossover dynamics of dispersive shocks in Bose-Einstein condensates characterized by two and three-body interactions
arXiv:1111.2434 · doi:10.1103/PhysRevA.85.043607
Abstract
We show that the perturbative nonlinearity associated with three-atom interactions, competing with standard two-body repulsive interactions, can change dramatically the evolution of 1D dispersive shock waves in a Bose-Einstein condensate. In particular, we prove the existence of a rich crossover dynamics, ranging from the formation of multiple shocks regularized by coexisting trains of dark and antidark matter waves, to 1D soliton collapse. For a given scattering length, all these different regimes can be accessed by varying the number of atoms in the condensate.
4 pages, 5 figures
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- Dispersive shock waves in a one-dimensional droplet-bearing environment
- Fate of the "vacuum point'' and of grey solitons in dispersive quantum shock waves in a one-dimensional Bose gas