Many-body and temperature effects in two-dimensional quantum droplets in Bose-Bose mixtures

TL;DR

This paper investigates the equilibrium properties of two-dimensional quantum droplets in Bose-Bose mixtures, incorporating many-body and temperature effects beyond traditional theories, and compares theoretical predictions with numerical simulations.

Contribution

It introduces a comprehensive theoretical framework using Hartree-Fock-Bogoliubov theory to analyze many-body and finite-temperature effects in 2D quantum droplets, extending beyond Lee-Huang-Yang approximations.

Findings

Good agreement with diffusion Monte Carlo data for ground-state energy

Droplet formation occurs below the BKT transition temperature

Critical temperature varies with interspecies interactions

Abstract

We study the equilibrium properties of self-bound droplets in two-dimensional Bose mixtures employing the time-dependent Hartree-Fock-Bogoliubov theory. This theory allows one to understand both the many-body and temperature effects beyond the Lee-Huang-Yang description. We calculate higher-order corrections to the excitations, the sound velocity, and the energy of the droplet. Our results for the ground-state energy are compared with the diffusion Monte Carlo data and good agreement is found. The behavior of the depletion and anomalous density of the droplet is also discussed. At finite temperature, we show that the droplet emerges at temperatures well below the Berezinskii-Kosterlitz-Thouless transition temperature. The critical temperature strongly depends on the interspecies interactions. Our study is extended to the finite size droplet by numerically solving the generalized finite-temperature Gross-Pitaevskii equation which is obtained self-consistently from our formalism in the framework of the local density approximation.