Quantum correlations in dipolar droplets: Time-dependent Hartree-Fock-Bogoliubov theory

TL;DR

This paper develops a time-dependent Hartree-Fock-Bogoliubov framework to study quantum correlations in dipolar quantum droplets, providing insights into their dynamics and matching recent experimental and simulation data.

Contribution

It introduces a self-consistent dynamical theory for quantum correlations in dipolar droplets, bridging theoretical predictions with experimental and simulation results.

Findings

Good agreement with recent experiments

Accurate description of density profiles and correlations

Insights into condensate depletion and critical particle number

Abstract

We investigate the effects of quantum correlations on dipolar quantum droplets. To this end,we derive self-consistent time-dependent Hartree-Fock-Bogoliubov equations that fairly describe the dynamics of the order parameter, the normal, and anomalous quantum correlations of the droplet. We analyze the density profiles, the critical number of particles, the condensate depletion, and the pair correlation function. Our predictions are compared with very recent experimental and Quantum Monte-Carlo simulations results and excellent agreement is found.