One dimensional gas of bosons with integrable resonant interactions

TL;DR

This paper presents an exact solution for a one-dimensional system of chiral bosons with integrable resonant interactions, revealing the behavior of dressed molecules and potential experimental realizations.

Contribution

It introduces an integrable model of chiral bosons with resonant interactions and provides an exact solution using inverse scattering, extending classical two-wave models.

Findings

Solution describes one or two branches of dressed molecules

Model is integrable and solvable via inverse scattering

Discusses potential experimental realization

Abstract

We develop an exact solution to the problem of one dimensional chiral bosons interacting via an s-wave Feshbach resonance. This problem is integrable, being the quantum analog of a classical two-wave model solved by the inverse scattering method thirty years ago. Its solution describes one or two branches of dressed chiral right moving molecules depending on the chemical potential (particle density). We also briefly discuss the possibility of experimental realization of such a system.