Effect of dispersion on indistinguishability between single-photon wave-packets

With propagating through a dispersive medium, the temporal-spectral profile of laser pulses should be inevitably modified. Although such dispersion effect has been well studied in classical optics, its on single-photon wave-packet, i.e., matter wave single-photon, not yet entirely revealed. In this paper, we investigate indistinguishability wave-packets Hong-Ou-Mandel (HOM) interference. By dispersively manipulating two indistinguishable before interfering with each other, observe that difference second-order between optical paths HOM interferometer can mapped to interference curve, indicating (1) same amount both paths, curve must only determined by intrinsic wave-packets, cancellation due Feynman paths; (2) unbalanced cannot cancelled and will broaden thus providing way measure coefficient. Our results suggest more comprehensive understanding wave-packet pave ways explore further applications