Collisional interferometry of levitons in quantum Hall edge channels at ν=2

We consider a Hong-Ou-Mandel interferometer for Lorentzian voltage pulses applied to quantum Hall edge channels at filling factor ν=2. Due to interedge interactions, the injected electronic wave packets fractionalize before partitioning at a quantum point contact. Remarkably enough, differently from what was 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 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 interedge interaction. Lorentzian-type voltage pulses are chosen because of their experimental relevance.