Dark Soliton Scattering in Symmetric and Asymmetric Double Potential Barriers
arXiv:1702.07008 · doi:10.1016/j.physleta.2017.05.058
Abstract
Motivated by the recent theoretical study of (bright) soliton diode effects in systems with multiple scatterers, as well as by experimental investigations of soliton-impurity interactions, we consider some prototypical case examples of interactions of dark solitons with a pair of scatterers. In a way fundamentally opposite to the case of bright solitons (but consonant to their "anti-particle character"), we find that dark solitons accelerate as they pass the first barrier and hence cannot be trapped by a second equal-height barrier. A pair of unequal barriers may lead to reflection from the second one, however trapping in the inter-barrier region cannot occur. We also give some examples of dynamical adjusting the barriers to trap the dark soliton in the inter-barrier region, yet we show that this can only occur over finite time horizons, with the dark soliton always escaping eventually, contrary again to what is potentially the case with bright solitons.
9 pages, 7 figures
References in corpus (10)
- Stationary and non-stationary fluid flow of a Bose-Einstein condensate through a penetrable barrier
- Fast soliton scattering by delta impurities
- Soliton splitting by external delta potentials
- Enhanced Quantum Reflection of Matter-Wave Solitons
- Bright matter-wave soliton collisions at narrow barriers
- Dark solitons in external potentials
- Generating, dragging and releasing dark solitons in elongated Bose-Einstein condensates
- Symmetry breaking and restoring wave transmission in diode-antidiode double chains
- Dark solitons near potential and nonlinearity steps
- -symmetric ladders with a scattering core