标题： 具有同核费希巴赫共振的束缚原子和分子多组分玻色-爱因斯坦凝聚物的相分离 显示英文标题

标题： Phase Separation of Multi-Component Bose-Einstein Condensates of Trapped Atoms and Molecules with a Homonuclear Feshbach Resonance

摘要： 我们研究了双组分原子和单组分分子的玻色-爱因斯坦凝聚体（BECs）的相分离，其中涉及同核费什巴赫共振。 我们建立了一个完整的模型，用于稀释的原子和分子气体，包括费什巴赫共振的相关性和所有类型的粒子间相互作用，并使用玻戈留波夫的经典场近似，在零温度下数值计算了球形谐振子势阱中BECs的序参量。 结果表明，费什巴赫共振可以引发两种类型的相分离。 在从原子主导区域到分子主导区域的整个参数区域内，预测了被困气体的实际相结构和密度分布。 我们关注分子在相分离中的作用。 特别是在原子主导区域，分子的作用通过我们模型中得出的有效相互作用来描述。 此外，我们展示了我们模型的一个微扰和半经典极限能够重现传统的原子BEC（单通道）模型。 显示英文摘要

摘要： We investigate phase separation of Bose-Einstein condensates (BECs) of two-component atoms and one-component molecules with a homonuclear Feshbach resonance. We develop a full model for dilute atomic and molecular gases including correlation of the Feshbach resonance and all kinds of interparticle interactions, and numerically calculate order parameters of the BECs in spherical harmonic oscillator traps at zero temperature with the Bogoliubov's classical field approximation. As a result, we find out that the Feshbach resonance can induce two types of phase separation. The actual phase structures and density profiles of the trapped gases are predicted in the whole parameter region, from the atom dominant regime to the molecule dominant regime. We focus on the role of the molecules in the phase separation. Especially in the atom dominant regime, the role of the molecules is described through effective interactions derived from our model. Furthermore we show that a perturbative and semi-classical limit of our model reproduces the conventional atomic BEC (single-channel) model.