# Dipolar Bose gas with three-body interactions in weak disorder

## TL;DR

This paper investigates how weak disorder, dipolar interactions, and three-body forces influence a Bose gas, revealing that three-body interactions can delocalize atoms in a disordered potential.

## Contribution

It provides a theoretical analysis of the combined effects of disorder, dipolar, and three-body interactions on a Bose gas using Hartree-Fock-Bogoliubov theory, highlighting their interplay.

## Key findings

- Disorder, dipolar, and three-body interactions significantly affect condensate properties.
- Three-body interactions can delocalize atoms in a disordered potential.
- Quantitative corrections to condensate depletion and energy are computed.

## Abstract

We study effects of weak disorder with Gaussian correlation function on a dipolar Bose gas with three-body interactions using the Hartree-Fock-Bogoliubov theory. Corrections due to quantum, thermal and disorder fluctuations to the condensate depletion, the one-body density correlation function as well as to the equation of state and the ground state energy are properly calculated. We show that the intriguing interplay of the disorder, dipole-dipole interactions and three-body interactions plays a fundamental role in the physics of the system. Interestingly, we find that the three-body interactions release atoms localized in the respective minima of the random potential.