Quantum self-bound droplets in Bose-Bose mixtures: Effects of higher-order quantum and thermal fluctuations

TL;DR

This paper investigates how higher-order quantum and thermal fluctuations influence the stability and properties of self-bound Bose-Bose mixture droplets using advanced theoretical models, providing insights into their finite-temperature behavior.

Contribution

It introduces a comprehensive time-dependent Hartree-Fock-Bogoliubov framework to analyze quantum and thermal effects on Bose-Bose droplets, extending previous models with detailed numerical and analytical results.

Findings

Quantum and thermal fluctuations significantly affect droplet stability.

The extended finite-temperature Gross-Pitaevskii equation accurately describes density profiles.

Critical temperature and excitation modes depend on interaction strength and temperature.

Abstract

We systematically study the effects of higher-order quantum and thermal fluctuations on the stabilization of self-bound droplets in Bose mixtures employing the time-dependent Hartree-Fock-Bogoliubov theory. We calculate the ground-state energy, the droplet equilibrium density, the depletion and anomalous density of the droplets as well as the critical temperature as a function of the relevant parameters. Our findings are compared with previous analytical predictions and diffusion Monte Carlo simulations. We employ our theory together with the local density approximation for quantum and thermal fluctuations to obtain an extended finite-temperature Gross-Pitaevskii equation. The density profiles and breathing modes of the droplet are deeply examined in terms of the interaction strength and the temperature by numerically solving the developed generalized Gross-Pitaevskii equation.