Effective-range signatures in quasi-1D matter waves: sound velocity and solitons

TL;DR

This paper explores how effective-range corrections influence sound velocity and soliton properties in quasi-1D ultracold bosonic gases, revealing significant quantitative differences from standard models.

Contribution

It introduces a modified 1D Gross-Pitaevskii equation incorporating effective-range effects, providing more accurate predictions for sound and soliton behaviors.

Findings

Finite-range effects alter sound speed predictions.

Density profiles of solitons are quantitatively affected.

Standard 1D GPE underestimates certain properties.

Abstract

We investigate ultracold and dilute bosonic atoms under strong transverse harmonic confinement by using a 1D modified Gross-Pitaevskii equation (1D MGPE), which accounts for the energy dependence of the two-body scattering amplitude within an effective-range expansion. We study sound waves and solitons of the quasi-1D system comparing 1D MGPE results with the 1D GPE ones. We point out that, when the finite-size nature of the interaction is taken into account, the speed of sound and the density profiles of both dark and bright solitons show relevant quantitative changes with respect to what predicted by the standard 1D GPE.