# The Second Order Correction to the Ground State Energy of the Dilute Bose Gas

## TL;DR

This paper rigorously proves the Lee-Huang-Yang formula for the ground state energy of a dilute Bose gas, confirming the accuracy of the Bogolubov approximation for a broad class of repulsive interactions in three dimensions.

## Contribution

It provides a rigorous lower bound for the ground state energy of a dilute Bose gas, validating the second order correction predicted by the Lee-Huang-Yang formula.

## Key findings

- Established the Lee-Huang-Yang formula as a lower bound
- Confirmed the Bogolubov approximation captures the second order correction
- Applicable to a broad class of soft repulsive potentials in 3D

## Abstract

We establish the Lee-Huang-Yang formula for the ground state energy of a dilute Bose gas for a broad class of repulsive pair-interactions in 3D as a lower bound. Our result is valid in an appropriate parameter regime of soft potentials and confirms that the Bogolubov approximation captures the right second order correction to the ground state energy.