A (diatomic) shape resonance is a metastable state of a pair of colliding atoms quasi-bound by the centrifugal barrier imposed by the angular momentum involved in the collision. The temporary trapping of the atoms' scattering wavefunction corresponds to an enhanced atom pair density at low interatomic separations. This leads to larger overlap of the wavefunctions involved in a molecule formation process such as photoassociation, rendering the process more efficient. However, for an ensemble of atoms, the atom pair density will only be enhanced if the energy of the resonance comes close to the temperature of the atomic ensemble. Herein we explore the possibility of controlling the energy of a shape resonance by shifting it toward the temperature of atoms confined in a trap. The shifts are imparted by the interaction of non-resonant light with the anisotropic polarizability of the atom pair, which affects both the centrifugal barrier and the pair's rotational and vibrational levels. We find that at laser intensities of up to $5\times 10^{9}$ W/cm$^2$ the pair density is increased by one order of magnitude for $^{87}$Rb atoms at $100 μ$K and by two orders of magnitude for $^{88}$Sr atoms at $20 μ$K.
Asymptotic model for shape resonance control of diatomics by intense non-resonant light: Universality in the single-channel approximation
非共振光通过极化率各向异性与光子相互作用耦合不同的转动态，并可能导致运动的强杂化。基于散射的长程性质，可以通过渐近模型完全捕获由于这种相互作用引起的形状共振和低能散射状态的修改[Crubellier et al. arXiv：1412.0569]。值得注意的是，在这种渐近多通道描述的场修整形状共振的属性被发现是近似线性的场强度相当大的强度。这表明微扰单通道方法足以研究由非共振场控制这种共振。多通道的结果还表明，依赖于场强目前，至少近似，普遍的特点。本文将节线法与微扰理论相结合求解渐近薛定谔方程。比较我们的单通道的结果与充分的相互作用势得到的结果，我们发现节线只依赖于无场散射长度的硅藻产生近似的，但普遍的描述的场修饰的分子，确认普遍的行为。
Diatomic molecular anions of alkali-metal and alkaline-earth-metal atoms
University of Monastir（莫纳斯提尔大学）；University of Warsaw（华沙大学）；University of Sousse（苏塞大学）；Higher Institute of Applied Sciences and Technology of Sousse（苏塞高等应用科学与技术学院）；American University of Ras Al Khaimah（拉斯海马美国大学）
Interatomic potentials, electric properties, and spectroscopy of the ground and excited states of the Rb_2 molecule: Ab initio calculations and effect of a non-resonant field
Resonant Manipulation of d-wave Interaction of Cold Atoms with Two Lasers and a Magnetic Field
本文提出了一个控制冷原子与两束强激光的d波相互作用的理论。该理论预言，由于基态d波散射态与束缚态的光缔合偶极耦合，两个激发的振转束缚态之间会发生相干。我们发现，这种激发态的相干性显着影响原子-原子相互作用。特别地，这导致d波弹性散射的增强和非弹性散射的抑制。在存在s波磁费什巴赫共振的情况下，两种激光器可以将s波共振与d波散射态耦合，从而导致在相对低的能量下d波散射的进一步增强。基于实际参数的数值计算表明，d波操纵在原子具有窄自然线宽的激发双原子态的情况下是最有效的。我们估计，在100 $μ$ K的Yb的非弹性散射率可以减少到20 s $^{-1}$，而弹性散射率可以大两个数量级。
Controlling interactions between highly-magnetic atoms with Feshbach resonances
本文综述了大磁矩原子和亚稳原子偶极量子气体的实验和理论研究进展。我们强调的各向异性性质的费什巴赫共振由于耦合到快速旋转的共振分子态的超冷s波碰撞中的磁性原子之间的外部磁场。分析了磁性$^7$ S $_3$ Cr和磁性镧系元素原子在4f壳层和非零电子角动量下共振态分布的显著差异。我们专注于镝和铒作为重要的实验进展，最近已经取得了冷却和创造量子简并气体为这些原子。最后，我们描述了在定位共振的亚稳磁性原子在电子P状态与基态原子的碰撞，其中存在的碰撞各向异性和自旋轨道耦合之间的相互作用的进展。
