Fluctuations and quantum self-bound droplets in a dipolar Bose-Bose mixture

TL;DR

This paper explores the properties and stability of quantum self-bound droplets in a dipolar Bose-Bose mixture, providing analytical formulas and examining effects of inhomogeneity and temperature on these quantum states.

Contribution

It introduces a comprehensive theoretical framework for dipolar binary Bose mixtures, including analytical formulas and analysis of droplet stability and properties.

Findings

Dipolar interactions significantly influence droplet stability and size.

Analytical expressions for condensate depletion and energy are derived.

Finite-temperature effects on dipolar droplets are characterized.

Abstract

We systematically investigate the properties of three-dimensional dipolar binary Bose mixture at low temperatures. A set of coupled self-consistent equations of motion are derived for the two condensates. In the homogeneous case, useful analytical formulas for the condensate depletion, the anomalous density, the ground-state energy, and the equation of state are obtained. The theory is extended to the inhomogeneous case and the importance of the inhomogeneity is highlighted. Our results open up a new avenue for studying dipolar mixture droplets. Impacts of the dipole-dipole interaction on the stability, density profiles, and the size of the self-bound droplet are deeply discussed. The finite-temperature behavior of such a state is also examined.