Bright and dark solitary waves in a one-dimensional spin-polarized gas of fermionic atoms with p-wave interactions in a hard-wall trap

TL;DR

This paper explores how bright and dark solitary waves can form in a one-dimensional spin-polarized fermionic gas with p-wave interactions, by mapping it to a Lieb-Liniger bosonic model with delta interactions.

Contribution

It demonstrates the emergence of solitary waves in a fermionic system through a mapping to a well-known bosonic model, revealing new insights into fermionic many-body physics.

Findings

Bright and dark solitary waves can exist in the system.

The fermionic system maps to the Lieb-Liniger bosonic model.

Solitary waves are supported by attractive or repulsive delta interactions.

Abstract

In this paper we elucidate the physics underlying the fact that both bright and dark solitary waves can arise in a one-dimensional spin-polarized gas of fermionic atoms with attractive three-dimensional p-wave interactions in a hard-wall trap. This is possible since the one-dimensional fermion system can be mapped to a system of bosons described by the Lieb-Liniger model with either repulsive or attractive delta-function interactions which can support solitary waves.