# Ultracold atoms in quasi-1D traps: a step beyond the Lieb-Liniger model

## TL;DR

This paper extends the Lieb-Liniger model for ultracold atoms in quasi-1D traps by including van der Waals interactions, revealing significant corrections near narrow Feshbach resonances and potential experimental detection methods.

## Contribution

It introduces a model extension that accounts for finite-range interactions, providing new insights into the behavior of ultracold atoms in confined geometries.

## Key findings

- Finite-range interactions significantly affect the system near narrow Feshbach resonances.
- Confinement and interactions can create effective transparency with weak 1D interactions.
- Proposes experimental schemes to detect these interaction corrections.

## Abstract

Ultracold atoms placed in a tight cigar-shaped trap are usually described in terms of the Lieb-Liniger model. We study the extensions of this model which arise when van der Waals interaction between atoms is taken into account. We find that the corrections induced by the finite range of interactions can become especially important in the vicinity of narrow Feshbach resonances and suggest realistic schemes of their experimental detection. The interplay of confinement and interactions can lead to effective transparency where the one-dimensional interactions are weak in a wide range of parameters.