论文标题
哈伯德模型中的可整合淬火
Integrable quenches in the Hubbard model
论文作者
论文摘要
我们通过Quench Action形式主义研究了一维Hubbard模型的淬火动态。我们介绍了一类可集成的初始状态 - 在两个站点上以产品状态表示，为此我们可以提供晚期制度的精确表征。这是通过找到我们状态与贝尔·安萨兹本特征之间重叠的封闭形式表达来实现的，我们在低密度和无限排斥的范围内明确检查。我们的解决方案可访问局部可观察物所达到的固定值（我们显示了双重占用位点的密度的明确示例）和直接在热力学极限下的渐近纠缠动力学。有趣的是，我们发现，对于中间相互作用强度，rényi熵显示了双斜率结构。
We study the quench dynamics of the one-dimensional Hubbard model through the Quench Action formalism. We introduce a class of integrable initial states -- expressed as product states over two sites -- for which we can provide an exact characterisation of the late-time regime. This is achieved by finding a closed-form expression for the overlaps between our states and the Bethe ansatz eigenstates, which we check explicitly in the limits of low densities and infinite repulsion. Our solution gives access to the stationary values attained by local observables (we show the explicit example of the density of doubly occupied sites) and the asymptotic entanglement dynamics directly in the thermodynamic limit. Interestingly, we find that for intermediate interaction strength Rényi entropies display a double-slope structure.
