论文标题
费米子遇到了两个玻色子 - 重新审视了异核Efimov效应
Fermions meet two bosons -- the heteronuclear Efimov effect revisited
论文作者
论文摘要
在本文中，我们在Bose-Fermi混合物中重新访问异核Efimov效应，在Born-Oppenheimer图片中质量很大。作为一个具体示例，我们考虑了玻色粒$^{133} \ mathrm {cs} $和fermionic $^6 \ mathrm {li} $的组合。在一个由两个重玻色子和一个光武器组成的系统中，两个重型玻色子之间的费米介导的电位产生了一系列无限的三体结合状态。种内散射长度决定了连续的Efimov状态之间的三体参数和缩放因子。在第二种情况下，我们在零温度下用整个费米海替换单个费米。这两个玻色子的新兴相互作用潜力表现出远距离振荡，导致结合的弱和无限系列的Efimov状态的破裂。在这种情况下，结合能遵循修改后的Efimov缩放定律，该定律结合了费米动量。深层结合状态之间的缩放因子受种内相互作用的控制，类似于真空中的Efimov状态。
In this article, we revisit the heteronuclear Efimov effect in a Bose-Fermi mixture with large mass difference in the Born-Oppenheimer picture. As a specific example, we consider the combination of bosonic $^{133}\mathrm{Cs}$ and fermionic $^6\mathrm{Li}$. In a system consisting of two heavy bosons and one light fermion, the fermion-mediated potential between the two heavy bosons gives rise to an infinite series of three-body bound states. The intraspecies scattering length determines the three-body parameter and the scaling factor between consecutive Efimov states. In a second scenario, we replace the single fermion by an entire Fermi Sea at zero temperature. The emerging interaction potential for the two bosons exhibits long-range oscillations leading to a weakening of the binding and a breakup of the infinite series of Efimov states. In this scenario, the binding energies follow a modified Efimov scaling law incorporating the Fermi momentum. The scaling factor between deeply bound states is governed by the intraspecies interaction, analogous to the Efimov states in vacuum.
