# Binding energy of homogeneous Bose gas

## TL;DR

This paper calculates the energy change associated with adding or removing a particle in a large, homogeneous Bose gas, validating Bogoliubov's approximation in the mean-field limit.

## Contribution

It provides a rigorous computation of the binding energy in a homogeneous Bose gas, justifying Bogoliubov's approximation for large particle numbers.

## Key findings

- Validated Bogoliubov's approximation in the mean-field limit
- Derived explicit formulas for particle addition/removal energy
- Enhanced understanding of Bose gas energetics in the thermodynamic limit

## Abstract

We compute the energy needed to add or remove one particle from a homogeneous system of $N$ bosons on a torus. We focus on the mean-field limit when $N$ becomes large and the strength of particle interactions is proportional to $N^{-1}$, which allows us to justify Bogoliubov's approximation.