English

Collisionally inhomogeneous Bose-Einstein condensates with a linear interaction gradient

Quantum Gases 2020-11-04 v2 Quantum Physics

Abstract

We study the evolution of a collisionally inhomogeneous matter wave in a spatial gradient of the interaction strength. Starting with a Bose-Einstein condensate with weak repulsive interactions in quasi-one-dimensional geometry, we monitor the evolution of a matter wave that simultaneously extends into spatial regions with attractive and repulsive interactions. We observe the formation and the decay of soliton-like density peaks, counter-propagating self-interfering wave packets, and the creation of cascades of solitons. The matter-wave dynamics is well reproduced in numerical simulations based on the nonpolynomial Schroedinger equation with three-body loss, allowing us to better understand the underlying behaviour based on a wavelet transformation. Our analysis provides new understanding of collapse processes for solitons, and opens interesting connections to other nonlinear instabilities.

Keywords

Cite

@article{arxiv.1908.10021,
  title  = {Collisionally inhomogeneous Bose-Einstein condensates with a linear interaction gradient},
  author = {Andrea Di Carli and Grant Henderson and Stuart Flannigan and Craig D. Colquhoun and Matthew Mitchell and Gian-Luca Oppo and Andrew J. Daley and Stefan Kuhr and Elmar Haller},
  journal= {arXiv preprint arXiv:1908.10021},
  year   = {2020}
}
R2 v1 2026-06-23T10:57:36.120Z