Beyond Lee-Huang-Yang description of self-bound Bose mixtures

Abstract

We investigate the properties of self-bound ultradilute Bose-Bose mixtures, beyond the Lee-Huang-Yang description. Our approach is based on the determination of the beyond mean-field corrections to the phonon modes of the mixture in a self-consistent way and calculation of the associated equation of state. The newly obtained ground state energies show excellent agreement with recent quantum Monte Carlo calculations, providing a simple and accurate description of the self-bound mixtures with contact type interaction. We further show numerical results for the equilibrium properties of the finite size droplet, by adjusting the Gross-Pitaevskii equation. Our analysis is extended to the one-dimensional mixtures where an excellent agreement with quantum Monte Carlo predictions is found for the equilibrium densities. Finally, we discuss the effects of temperature on the stability of the liquid phase.

19 pages. Added a new section about the effects of finite temperature on the stability of the liquid phase + minor changes and corrections

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Cited by in corpus (12)

• 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
• Quantum self-bound droplets in Bose-Bose mixtures: Effects of higher-order quantum and thermal fluctuations
• Interactions and dynamics of one-dimensional droplets, bubbles and kinks
• Microscopic derivation of the extended Gross-Pitaevskii equation for quantum droplets in binary Bose mixtures
• Many-body and temperature effects in two-dimensional quantum droplets in Bose-Bose mixtures
• Quantum liquid droplets in Bose mixtures with weak disorder
• The Effective Single-mode model of a Binary Boson Mixture in the Quantum Droplet Region
• Functional renormalization for repulsive Bose-Bose mixtures at zero temperature
• Spinor Boson Droplets Stabilized By Spin Fluctuations
• Weakly-interacting Bose-Bose mixtures from the functional renormalisation group
• Dilute quantum liquid in a K-Rb Bose mixture