论文标题
Bose-Bose液滴的自洽描述：修改后的无间隙Hartree-fock-Bogoliubov方法
Self-consistent Description of Bose-Bose Droplets: Modified Gapless Hartree-Fock-Bogoliubov Method
论文作者
论文摘要
我们定义了一种对弱相互作用的玻色系统基态的自洽描述的形式主义，这说明了稀释性参数中能量扩展的高阶项。该方法被设计为在弱塌陷方面的bose-bose混合物中应用，在量子崩溃的状态下，量子波动会导致系统稳定并形成量子液滴。该方法基于普遍的总（Pitaevskii方程），该方程占量子耗竭和异常密度项。该方程与修改后的Bogoliubov方程式是自一耦合的。 我们介绍的修改解决了包括更高级术语时缺少声子分支激励的长期问题。我们的方法确保了无间隙的低能激发频谱，对于正确解释量子波动至关重要。我们特别关注液滴和谐限制在某些方向上的情况。该方法允许确定当局部密度近似发生故障时，李 - 黄型对不均匀液滴的化学潜力的贡献。
We define a formalism of a self-consistent description of the ground state of a weakly interacting Bose system, accounting for higher order terms in expansion of energy in the diluteness parameter. The approach is designed to be applied to a Bose-Bose mixture in a regime of weak collapse where quantum fluctuations lead to stabilization of the system and formation of quantum liquid droplets. The approach is based on the Generalized Gross -- Pitaevskii equation accounting for quantum depletion and anomalous density terms. The equation is self-consistently coupled to modified Bogoliubov equations. The modification we introduce resolves the longstanding issue of missing phonon-branch excitations when higher order terms are included. Our method ensures a gapless phononic low-energy excitation spectrum, crucial to correctly account for quantum fluctuations. We pay particular attention to the case of droplets harmonically confined in some directions. The method allows to determine the Lee-Huang-Yang-type contribution to the chemical potential of inhomogeneous droplets when the local density approximation fails.
