Collisionally inhomogeneous Bose-Einstein condensates with a linear interaction gradient

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 in...

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Bibliographic Details
Published in:arXiv.org 2020-05
Main Authors: Andrea Di Carli, Henderson, Grant, Flannigan, Stuart, Colquhoun, Craig D, Mitchell, Matthew, Gian-Luca Oppo, Daley, Andrew J, Kuhr, Stefan, Haller, Elmar
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Cascades
Computer simulation
Evolution
Matter & antimatter
Matter waves
Schrodinger equation
Shock wave propagation
Shock waves
Solitary waves
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1908.10021