Three-body local correlation function in the Lieb-Liniger model: bosonization approach

TL;DR

This paper introduces a bosonization-based method to calculate local operator expectation values in the Lieb-Liniger model, providing explicit results for three-body correlations relevant to recent experiments.

Contribution

The authors develop a novel bosonization approach with new identities for calculating local correlations in the Lieb-Liniger model, advancing analytical techniques in integrable systems.

Findings

Explicit expression for three-body local correlation function.

Method validated against recent experimental measurements.

New identities derived from integrability and effective theory.

Abstract

We develop a method for the calculation of vacuum expectation values of local operators in the Lieb-Liniger model. This method is based on a set of new identities obtained using integrability and effective theory (``bosonization'') description. We use this method to get an explicit expression for the three-body local correlation function, measured in a recent experiment [1].