# Evidence of a liquid phase in interacting Bosons at intermediate densities

## TL;DR

This paper provides evidence that interacting Bosons at intermediate densities form a liquid-like phase, characterized by strong correlations and distinct physical properties from ideal quantum gases, using the Lieb approach for predictions.

## Contribution

The study demonstrates the existence of a liquid phase in interacting Bosons at intermediate densities using the Lieb approach, with detailed predictions of physical properties.

## Key findings

- Radial distribution function indicates liquid-like correlations.
- Structure factor shows strong inter-particle correlations.
- Condensate fraction and momentum distribution differ from ideal gas behavior.

## Abstract

In this paper, we present evidence for a liquid-like phase in systems of many interacting Bosons at intermediate densities. The interacting Bose gas has been studied extensively in the low and high density regimes, in which interactions do not play a physically significant role, and the system behaves similarly to the ideal quantum gas. Instead, we will turn our attention to the intermediate density regime, and report evidence that the system enters a strongly correlated phase where its behavior is markedly different from that of the ideal quantum gas. To do so, we use the Simplified approach to the Bose gas, which was introduced by Lieb in 1963 and recently found to provide very accurate predictions for many-Boson systems at all densities. Using this tool, we will compute predictions for the radial distribution function, structure factor, condensate fraction and momentum distribution, and show that they are consistent with liquid-type behavior.