论文标题
关于杂质的动力学的完整视图，耦合到两个一维费米子浴
A full view on the dynamics of an impurity coupled to two one-dimensional fermionic baths
论文作者
论文摘要
我们考虑了一种与两个平行的一维（授权）效费浴的杂质相互作用的杂质运动的模型。杂质能够沿着任何浴缸移动，并从一个浴缸跳到另一个浴缸。当将杂质注入带有给定的波数据包的一个浴缸中时，我们为系统的状态演变提供了扰动的表达。不受干扰的动力学的非平凡选择使近似值在杂质 - 浴耦合中正式无限顺序，从而使我们能够再现正交性灾难。我们采用了状态进化的结果来观察杂质的动力学及其对浴室的影响，特别是在波数据包为高斯的情况下。我们观察并表征沿浴室杂质的传播以及它们之间的跳跃。我们还分析了浴池密度和动量密度（即粒子电流）的动力学，并显示拟合直观的半古典解释。我们还通过计算浴池密度和动量的相等时间的空间相关函数来量化浴缸之间建立的相关性，从而找到复杂的模式。我们表明，这种模式包含有关杂质运动和浴室本身的信息，并且可以通过在时间演变中进行适当的“切片”来揭示这些信息。
We consider a model for the motion of an impurity interacting with two parallel, one-dimensional (bosonized) fermionic baths. The impurity is able to move along any of the baths, and to jump from one to the other. We provide a perturbative expression for the state evolution of the system when the impurity is injected in one of the baths, with a given wave packet. The nontrivial choice of the unperturbed dynamics makes the approximation formally infinite-order in the impurity-bath coupling, allowing us to reproduce the orthogonality catastrophe. We employ the result for the state evolution to observe the dynamics of the impurity and its effect on the baths, in particular in the case when the wave packet is Gaussian. We observe and characterize the propagation of the impurity along the baths and the hopping between them. We also analyze the dynamics of the bath density and momentum density (i.e. the particle current), and show that fits an intuitive semi-classical interpretation. We also quantify the correlation that is established between the baths by calculating the inter-bath, equal-time spatial correlation functions of both bath density and momentum, finding a complex pattern. We show that this pattern contains information on both the impurity motion and on the baths themselves, and that these can be unveiled by taking appropriate "slices" of the time evolution.
