Quantum Monte Carlo-based density functional for one-dimensional Bose-Bose mixtures

Abstract

We propose and benchmark a Gross-Pitaevskii-like equation for two-component Bose mixtures with competing interactions in 1D. Our approach follows the density-functional theory with the energy functional based on the exact Quantum Monte Carlo (QMC) simulations. Our model covers, but goes beyond, the popular approach with the Lee-Huang-Yang corrections. We first benchmark our approach against available QMC data in all interaction regimes and then study dynamical properties, inaccessible by ab initio many-body simulations. Our analysis includes a study of monopole modes and reveals the presence of anomalous dark solitons.

10 pages, 7 figures

References in corpus (8)

• Quantum liquid droplets in a mixture of Bose-Einstein condensates
• Collisions of self-bound quantum droplets
• Beyond Lee-Huang-Yang description of self-bound Bose mixtures
• Feshbach Resonances in an Erbium-Dysprosium Dipolar Mixture
• Large Amplitude Dynamics of the Pairing Correlations in a Unitary Fermi Gas
• Microscopic pairing theory of a binary Bose mixture with interspecies attractions: bosonic BEC-BCS crossover and ultradilute low-dimensional quantum droplets
• Thermal instability, evaporation and thermodynamics of one-dimensional liquids in weakly-interacting Bose-Bose mixtures
• Polarization angle dependence of the breathing modes in confined one-dimensional dipolar bosons

Cited by in corpus (4)

• A quantum Monte Carlo based density functional for Dysprosium dipolar system
• Propagation properties and stability of dark solitons in weakly interacting Bose-Bose droplets
• Phase diagram and elementary excitations of strongly interacting droplets with non-local interactions
• Diminished quantum depletion and correlated droplets in one-dimensional dipolar Bose gas