论文标题
玻色果混合物的相分离：陷阱和颗粒数不平衡的影响
Phase separation of a Bose-Bose mixture: impact of the trap and particle number imbalance
论文作者
论文摘要
我们探索了限制在不同长度尺度的准副抛物线陷阱中的两种玻体物种的几种混合物。研究了由谐波长度比率，种间耦合强度和粒子数比的三维参数空间中的基态相图。作为第一个案例研究，我们使用平均场Ansatz（MF）对分离机理进行详细分析。它使我们能够得出一个简单而直观的规则，以预测哪个不混溶阶段在可混杂的不知名相边界上更有利。我们估计了可混杂的不可见过渡的临界耦合强度，并与通过多层多型多配合时间依赖于霍特里的Hartree方法（ML-X）进行比较与相关的多体性结果进行了比较。在陷阱频率的临界比率下，仅由颗粒数比确定，MF和ML-X之间的偏差非常明显，并且可以归因于组件之间的高度纠缠。结果，我们证明了有效的一身图片的崩溃。此外，当多体相关性起着重要的作用时，一般而言，单体密度不足以确定当地的相位，我们证明了这一点。
We explore a few-body mixture of two bosonic species confined in quasi-one-dimensional parabolic traps of different length scales. The ground state phase diagrams in the three-dimensional parameter space spanned by the harmonic length scale ratio, inter-species coupling strength and particle number ratio are investigated. As a first case study we use the mean-field ansatz (MF) to perform a detailed analysis of the separation mechanism. It allows us to derive a simple and intuitive rule predicting which of the immiscible phases is energetically more favorable at the miscible-immiscible phase boundary. We estimate the critical coupling strength for the miscible-immiscible transition and perform a comparison to correlated many-body results obtained by means of the Multi-Layer Multi-Configuration Time Dependent Hartree method for bosonic mixtures (ML-X). At a critical ratio of the trap frequencies, determined solely by the particle number ratio, the deviations between MF and ML-X are very pronounced and can be attributed to a high degree of entanglement between the components. As a result, we evidence the breakdown of the effective one-body picture. Additionally, when many-body correlations play a substantial role, the one-body density is in general not sufficient for deciding upon the phase at hand which we demonstrate exemplarily.
