Scattering of matter-waves in spatially inhomogeneous environments
arXiv:1502.01881 · doi:10.1103/PhysRevA.91.033633
Abstract
We study scattering of quasi one-dimensional matter-waves at an interface of two spatial domains, one with repulsive and one with attractive interatomic interactions. It is shown that the incidence of a Gaussian wavepacket from the repulsive to the attractive region gives rise to generation of a soliton train. More specifically, the number of emergent solitons can be controlled e.g. by the variation of the amplitude or the width of the incoming wavepacket. Furthermore, we study the reflectivity of a soliton incident from the attractive region to the repulsive one. We find the reflection coefficient numerically and employ analytical methods, that treat the soliton as a particle (for moderate and large amplitudes) or a quasi-linear wavepacket (for small amplitudes), to determine the critical soliton momentum - as function of the soliton amplitude - for which total reflection is observed.
8 pages, 7 figures
References in corpus (14)
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Tuning the scattering length with an optically induced Feshbach resonance
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Experimental observation of oscillating and interacting matter wave dark solitons
- Collisions of matter-wave solitons
- Nonlinearity Management in Optics: Experiment, Theory, and Simulation
- Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
- Fully three dimensional breather solitons can be created using Feshbach resonance
- Transmission of matter wave solitons through nonlinear traps and barriers
- Modulational instability in a layered Kerr medium: Theory and Experiment
- Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates
- Reflection, Transmission and Trapping Dynamics of Lattice Solitons at Interfaces
- Modulational Instability in Nonlinearity-Managed Optical Media
- Dynamics of a vortex dipole across a magnetic phase boundary in a spinor Bose-Einstein condensate