论文标题
超电玻色纤维纤维混合物中的Goldstino光谱与明显破裂的超对称性
Goldstino spectrum in an ultracold Bose-Fermi mixture with explicitly broken supersymmetry
论文作者
论文摘要
从理论上讲，我们在玻色粉状混合物中研究了称为戈德斯蒂诺的超对称集体模式。考虑了在冷原子实验中不可避免的显式超对称性破裂。我们得出了Goldstino的Gell-Mann-Oakes-Renner（GOR）关系，该关系给出了零动量处的能量差距与显式破坏项之间的关系。我们还在数值上评估了在随机相近似（RPA）内戈德斯蒂诺（Goldstino）上方的戈德斯蒂诺（Goldstino）的间隙。虽然从GOR关系获得的差距与质量平衡系统的RPA中的差距一致，但与质量失控系统中的GOR关系存在偏差。我们指出，当Goldstino Pole接近分支点时，偏差会变得很大，尽管相对于质量损害参数，这在参数上是一个更高的顺序。为了检查戈德斯蒂诺杆在逼真的冷原子系统中的存在，我们展示了$^6 $ li-$^7 $ li，$^{40} $ k-$^{41} $ k，以及$^{41} $ k，和$^{173} $ yb-yb- $ yb- $^{174} $ yb混合物。此外，我们分析了$^{173} $ yb- $ yb-$^{174} $ yb混合物的戈德斯蒂诺光谱重量，并具有逼真的交互作用，并由于戈德斯蒂诺极带了透明的峰值。为了观察冷原子实验中的戈德斯蒂诺谱，我们讨论了戈德斯蒂诺极对费米子单粒子激发的影响，以及GOR关系与TAN的接触之间的关系。
We theoretically investigate a supersymmetric collective mode called Goldstino in a Bose-Fermi mixture. The explicit supersymmetry breaking, which is unavoidable in cold atom experiments, is considered. We derive the Gell-Mann--Oakes-Renner (GOR) relation for the Goldstino, which gives the relation between the energy gap at the zero momentum and the explicit breaking term. We also numerically evaluate the gap of Goldstino above the Bose-Einstein condensation temperature within the random phase approximation (RPA). While the gap obtained from the GOR relation coincides with that in the RPA for the mass-balanced system, there is a deviation from the GOR relation in the mass-imbalanced system. We point out the deviation becomes large when the Goldstino pole is close to the branch point, although it is parametrically a higher order with respect to the mass-imbalanced parameter. To examine the existence of the goldstino pole in realistic cold atomic systems, we show how the mass-imbalance effect appears in $^6$Li-$^7$Li, $^{40}$K-$^{41}$K, and $^{173}$Yb-$^{174}$Yb mixtures. Furthermore, we analyze the Goldstino spectral weight in a $^{173}$Yb-$^{174}$Yb mixture with realistic interactions and show a clear peak due to the Goldstino pole. As a possibility to observe the Goldstino spectrum in cold atom experiments, we discuss the effects of the Goldstino pole on the fermionic single-particle excitation as well as the relationship between the GOR relation and Tan's contact.
