论文标题
从单个散装波函数中提取量子大厅电导
Extracting the Quantum Hall Conductance from a Single Bulk Wavefunction
论文作者
论文摘要
我们提出了一个新的公式，该公式从单个（2+1）d的波功能中提取量子厅电导。该公式适用于保存粒子数的一般多体系统，并基于模块化流的概念：即，由波函数的纠缠结构产生的单位动力学。该公式显示出满足霍尔电导的所有形式特性：在时间逆转和反射下，即使在电荷共轭下，在热力学极限下具有通用和拓扑上的刚性也很奇怪。将公式与霍尔电导联系起来的进一步证据是从共形田间理论论证中获得的。最后，我们通过将其应用于获得出色一致的非相互作用的Chern带中来检查该公式。
We propose a new formula that extracts the quantum Hall conductance from a single (2+1)D gapped wavefunction. The formula applies to general many-body systems that conserve particle number, and is based on the concept of modular flow: i.e., unitary dynamics generated from the entanglement structure of the wavefunction. The formula is shown to satisfy all formal properties of the Hall conductance: it is odd under time-reversal and reflection, even under charge conjugation, universal and topologically rigid in the thermodynamic limit. Further evidence for relating the formula to the Hall conductance is obtained from conformal field theory arguments. Finally, we numerically check the formula by applying it to a non-interacting Chern band where excellent agreement is obtained.
