论文标题

浸入费米海:跨相分离的静态和动态行为理论

BEC immersed in a Fermi sea: Theory of static and dynamic behavior across phase separation

论文作者

Huang, Bo

论文摘要

从理论上讲,我们研究了在可调种间相互作用的条件下,将BEC浸入大型超电原子的大型费米海的静态和动态行为。退化的玻色纤维混合物保持在细长的陷阱中,通常用于单光束光学偶极子陷阱。我们专注于排斥性玻色纤维相互作用的情况,并开发平均场模型,以模拟在广泛的排斥强度上的系统。我们在相分离和弱相互作用方面进一步获得分析解决方案。我们获得静态密度曲线和径向呼吸模式的频率,这是混合物的基本动态现象。我们的结果揭示了Bose-Fermi界面的结构,并描述当组件在强烈排斥下分离时呼吸模式的频移的起源。我们表明,费米海引起的玻色子之间的介导的相互作用可以理解为绝热的二阶平均场效应,这在相关实验条件下也超出了弱相互作用状态。这些结果与我们最近观察到的$^{41} $ k和$^6 $ li的观察结果一致。

We theoretically study the static and dynamic behavior of a BEC immersed in a large Fermi sea of ultracold atoms under conditions of tunable interspecies interaction. The degenerate Bose-Fermi mixture is kept in an elongated trap, typical for a single-beam optical dipole trap. We focus on the case of repulsive Bose-Fermi interaction and develop mean-field models to simulate the system over a wide range of repulsion strength. We further get analytical solutions in the regimes of phase separation and weak interaction. We obtain static density profiles and the frequency of the radial breathing mode, which is an elementary dynamic phenomenon of the mixture. Our results unveil the structure of the Bose-Fermi interface and describe the origin of the frequency shift of the breathing mode when the components become phase-separated at strong repulsion. We show that the mediated interaction between bosons induced by the Fermi sea can be understood as an adiabatic second-order mean-field effect, which is valid also beyond the weak-interaction regime for relevant experimental conditions. These results are consistent with our recent observations in a mixture of $^{41}$K and $^6$Li.

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