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.

中文翻译：

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超越Lee-Huang-Yang对自结合Bose混合物的描述

我们研究了自结合超稀Bose-Bose混合物的特性，超出了Lee-Huang-Yang的描述。我们的方法基于以自洽的方式确定混合物的声子模的平均场之外的修正，并计算了相关的状态方程。新获得的基态能量与最近的量子蒙特卡洛计算显示出极好的一致性，从而提供了具有接触类型相互作用的自结合混合物的简单而准确的描述。通过调整Gross-Pitaevskii方程，我们进一步显示了有限尺寸液滴的平衡特性的数值结果。我们的分析扩展到一维混合物，其中找到了与量子蒙特卡罗预测的平衡密度极好的一致性。最后，