$ν=2$上量子霍尔边通道中Leviton的碰撞干涉测量
Collisional interferometry of Levitons in quantum Hall edge channels at $ν=2$
摘要：
我们考虑了一个Hong-Ou-Mandel干涉仪，用于测量填充因子为$ν=2$的量子霍尔边缘沟道上的洛伦兹电压脉冲。由于边缘间的相互作用，注入的电子波包在量子点接触处分割之前会分裂。值得注意的是，从理论上预测和实验观察到的不同，通过使用其他注射技术，我们证明，当注射发生通过随时间变化的电压脉冲（任意形状），红欧曼德尔噪声信号总是消失的对称设备，和注射器和碰撞点之间的距离的不匹配是必要的，以减少下降的可见性。我们还表明，通过适当地调整这些距离或通过施加不同的电压在两个边缘通道在每个臂的干涉仪，它是可能的，以估计的强度的边缘间的相互作用。电压脉冲被选择为洛伦兹类型，因为它们的实验相关性。
英文摘要：
We consider a Hong-Ou-Mandel interferometer for Lorentzian voltage pulses applied to Quantum Hall edge channels at filling factor $ν=2$. Due to inter-edge interactions, the injected electronic wave-packets fractionalize before partitioning at a quantum point contact. Remarkably enough, differently from what theoretically predicted and experimentally observed by using other injection techniques, we demonstrate that, when the injection occurs through time-dependent voltage pulses (arbitrarily shaped), the Hong-Ou-Mandel noise signal always vanishes for a symmetric device, and that a mismatch in the distances between the injectors and the point of collision is needed in order to reduce the visibility of the dip. We also show that, by properly tuning these distances or by applying different voltages on the two edge channels in each arm of the interferometer, it is possible to estimate the intensity of the inter-edge interaction. The voltage pulses are chosen of the Lorentzian type because of their experimental relevance.
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