Ground-state properties of dilute one-dimensional Bose gas with three-body repulsion

TL;DR

This paper analyzes the low-energy thermodynamics of dilute 1D Bose gases with three-body repulsion, deriving universal relations and an energy theorem without assuming weak interactions.

Contribution

It provides a perturbative analysis of the thermodynamics and establishes an analogue of Tan's energy theorem for systems with three-body forces.

Findings

Derived universal thermodynamic expressions for 1D Bose gases with three-body interactions.

Established an exact relation linking three-body contact to energy density.

Presented results in the zero-range potential limit using three-particle scattering length.

Abstract

We determined perturbatively the low-energy universal thermodynamics of dilute one-dimensional bosons with the three-body repulsive forces. The final results are presented for the limit of vanishing potential range in terms of three-particle scattering length. An analogue of Tan`s energy theorem for considered system is derived in generic case without assuming weakness of the interparticle interaction. We also obtained an exact identity relating the three-body contact to the energy density.