Solitary waves in elongated clouds of strongly-interacting bosons

TL;DR

This paper investigates solitary wave propagation in elongated bosonic atom clouds across different interaction regimes, developing a unified formalism and analyzing the transition to the Tonks-Girardeau limit of strong interactions.

Contribution

It introduces a comprehensive formalism that interpolates between physical regimes of bosonic clouds and explores the transition to the Tonks-Girardeau limit.

Findings

Identification of three distinct physical regimes

Development of a general interpolation formalism

Analysis of the transition to the Tonks-Girardeau limit

Abstract

We examine the propagation of solitary waves in elongated clouds of trapped bosonic atoms as the confinement, the strength of the interatomic interaction, and the atom density are varied. We identify three different physical regimes and develop a general formalism that allows us to interpolate between them. Finally we pay special attention to the transition to the Tonks-Girardeau limit of strongly-interacting bosons.