Atomic soliton transmission and induced collapse in scattering from a narrow barrier

Year: 2024

Authors: Lorenzi F., Salasnich L.

Autors Affiliation: Univ Padua, Dipartimento Fis & Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; Ist Nazl Fis Nucl INFN, Sez Padova, Via Marzolo 8, I-35131 Padua, Italy; Univ Padua, Padua Quantum Technol Res Ctr, via Gradenigo 6-A, I-35131 Padua, Italy; CNR, Ist Nazl Ott INO, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy.

Abstract: We report systematic numerical simulations of the collision of a bright matter-wave soliton made of Bose-condensed alkali-metal atoms through a narrow potential barrier by using the three-dimensional Gross-Pitaevskii equation. In this way, we determine how the transmission coefficient depends on the soliton impact velocity and the barrier height. Quite remarkably, we also obtain the regions of parameters where there is the collapse of the bright soliton induced by the collision. We compare these three-dimensional results with the ones obtained by three different one-dimensional nonlinear Schrodinger equations. We find that a specifically modified nonpolynomial Schrodinger equation is able to accurately assess the transmission coefficient even in a region in which the usual nonpolynomial Schrodinger equation collapses. In particular, this simplified but very effective one-dimensional model takes into account the transverse width dynamics of the soliton with an ordinary differential equation coupled to the partial differential equation of the axial wave function of the Bose-Einstein condensate.

Journal/Review: SCIENTIFIC REPORTS

Volume: 14 (1)      Pages from: 4665-1  to: 4665-9

More Information: F.L. and L.S. acknowledge a National Grant of the Italian Ministry of University and Research for the PRIN 2022 project Quantum Atomic Mixtures: Droplets, Topological Structures, and Vortices. L.S. is partially supported by the BIRD grant Ultracold atoms in curved geometries of the University of Padova, by the Iniziativa Specifica Quantum of INFN, by the European Quantum Flagship project PASQuanS 2, and by the European Union-NextGenerationEU within the National Center for HPC, Big Data and Quantum Computing (Project No. CN00000013, CN1 Spoke 10: Quantum Computing).
KeyWords: Nonlinear Evolution-equations; Numerical Aspects; Wave
DOI: 10.1038/s41598-023-49108-y

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