利用费米黄金规则和Kramers-Kronig关系将霍尔电导与多体陈数联系起来
Relating the Hall conductivity to the many-body Chern number using Fermi's Golden rule and Kramers-Kronig relations
AI总结：
本文提出一种教学性推导，仅用Kramers-Kronig关系与费米黄金规则证明关联绝缘体的量子化霍尔电导等于多体陈数，并指出可通过圆驱动下的单粒子激发率直接测量。
摘要：
这篇教学性文章提供了一个出人意料的简单证明，表明关联绝缘体的量子化霍尔电导由多体陈数给出，多体陈数是定义在扭曲边界条件空间中的拓扑不变量。与通常基于Kubo公式的传统证明不同，我们的方法完全依赖于在圆二色性框架内结合Kramers-Kronig关系和费米黄金规则。这一教学性推导说明了如何通过监测圆驱动下的单粒子激发来确定关联绝缘体的霍尔电导，这是一个概念上简单的图像，对量子工程系统具有直接意义，因为在量子工程系统中激发率可以被直接监测。
英文摘要：
This pedagogical piece provides a surprisingly simple demonstration that the quantized Hall conductivity of correlated insulators is given by the many-body Chern number, a topological invariant defined in the space of twisted boundary conditions. In contrast to conventional proofs, generally based on the Kubo formula, our approach entirely relies on combining Kramers-Kronig relations and Fermi's golden rule within a circular-dichroism framework. This pedagogical derivation illustrates how the Hall conductivity of correlated insulators can be determined by monitoring single-particle excitations upon a circular drive, a conceptually simple picture with direct implications for quantum-engineered systems, where excitation rates can be directly monitored.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
