论文标题
量子退化气体中离子之间的介导相互作用
Mediated interactions between ions in quantum degenerate gases
论文作者
论文摘要
我们探索了由周围量子变性玻色或费米气体介导的两个被困离子之间的相互作用。使用对弱原子相互作用有效的扰动理论，我们从分析上表明，由玻色气体介导的相互作用具有大距离的幂律行为，而它具有用于中间距离的Yukawa形式。对于费米气体，介导的相互作用由幂律用于大密度，并由ruderman-kittel-kasuya-yosida形式用于低密度。对于强大的原子 - 离子相互作用，我们使用图表理论证明介导的相互作用可能是离子之间的裸库仑相互作用的重要补充，当Atom-Ion绑定状态接近阈值时。最后，我们表明诱导的相互作用导致离子声子频率的大量和可观察到的变化。
We explore the interaction between two trapped ions mediated by a surrounding quantum degenerate Bose or Fermi gas. Using perturbation theory valid for weak atom-ion interaction, we show analytically that the interaction mediated by a Bose gas has a power-law behaviour for large distances whereas it has a Yukawa form for intermediate distances. For a Fermi gas, the mediated interaction is given by a power-law for large density and by a Ruderman-Kittel-Kasuya-Yosida form for low density. For strong atom-ion interactions, we use a diagrammatic theory to demonstrate that the mediated interaction can be a significant addition to the bare Coulomb interaction between the ions, when an atom-ion bound state is close to threshold. Finally, we show that the induced interaction leads to substantial and observable shifts in the ion phonon frequencies.
