论文标题
本地扰动的集成系统中的特征态热化
Eigenstate Thermalization in a Locally Perturbed Integrable System
论文作者
论文摘要
特征态热化被广泛接受为通用孤立量子系统中热化的机制。使用嵌入在可集成的Spin-1/2 $ XXZ $链中的单个磁性缺陷的示例，我们表明局部扰动可集成的系统会导致特征状态的热化。这种设置独有的事实是，不受干扰的集成链的热力学和传输特性在扰动（不可融合）的特征状态的特性中出现。具体而言，我们表明，在受干扰的本征状态下可观察到的对角线矩阵元素遵循了可集成模型的微型人沟通预测，并且可集成模型中自旋传输的弹道特征体现在当前操作员在扰动的eigenstate中当前操作员的外径基质元素的行为。
Eigenstate thermalization is widely accepted as the mechanism behind thermalization in generic isolated quantum systems. Using the example of a single magnetic defect embedded in the integrable spin-1/2 $XXZ$ chain, we show that locally perturbing an integrable system can give rise to eigenstate thermalization. Unique to such setups is the fact that thermodynamic and transport properties of the unperturbed integrable chain emerge in properties of the eigenstates of the perturbed (nonintegrable) one. Specifically, we show that the diagonal matrix elements of observables in the perturbed eigenstates follow the microcanonical predictions for the integrable model, and that the ballistic character of spin transport in the integrable model is manifest in the behavior of the off-diagonal matrix elements of the current operator in the perturbed eigenstates.
