Universality of the one dimensional Bose gas with delta interaction

TL;DR

This paper explores how various one-dimensional bosonic lattice models, both integrable and non-integrable, converge to the same low-density continuum limit described by the delta-interacting Bose gas, highlighting the universality of this behavior.

Contribution

It demonstrates the universality of the low-density limit across different lattice models, contrasting lattice corrections among integrable and non-integrable systems.

Findings

Low-density limit described by delta-interacting Bose gas

Lattice corrections vary between models

Universality holds across integrable and non-integrable systems

Abstract

We consider several models of interacting bosons in a one dimensional lattice. Some of them are not integrable like the Bose-Hubbard others are integrable. At low density all of these models can be described by the Bose gas with delta interaction. The lattice corrections corresponding to the different models are contrasted.