We demonstrated the dispersion cancellation on two-photon Hong-Ou-Mandel interference revival via a biphoton frequency comb for the first time. The temporal spacing between Hong-Ou-Mandel interference dips can be modified by applying dispersion.
The dispersion cancellation observed in Hong-Ou-Mandel (HOM) interference between frequency-entangled photon pairs has been the basis of quantum optical coherence tomography and quantum clock synchronization. Here we explore the effect of phase dispersion on ultranarrow HOM dips. We show that the higher-order dispersion, the linewidth of the pump laser, and the spectral shape of the parametric fluorescence have a strong effect on the dispersion cancellation in the high-resolution regime with several experimental verifications. Perfect dispersion cancellation with a linewidth of 3 $\ensuremath{\mu}$m is also demonstrated through 25 mm of water.
We present a complete analytical formalism of the effect of phase dispersion on the Hong-Ou-Mandel dip with cw pumping, including higher-order terms. We show that the Hong-Ou-Mandel dip is strongly modified by the frequency-dependent phase modulation and even becomes a bump when the phase dispersion is a special step function. We also show that the phase dispersion function can be fully reconstructed via Fourier transformation from the measurement result of the Hong-Ou-Mandel dip when the dispersion function is antisymmetric. An experimental demonstration of the proposed method using a bandpass filter as a test sample is also presented.
Dispersion cancellation with an energy-time entangled photon pair in Hong-Ou-Mandel (HOM) interference is one phenomenon that reveals the nonclassical nature of the entangled photon pair. This phenomenon has been observed in materials with very weak dispersions. If the higher-order dispersion coefficient is non-negligible, then the experiment must be modified to realize dispersion cancellation. All-order dispersion cancellation using balanced dispersion was suggested by Steinberg. However, the same phenomenon is expected to occur even if a photon pair is not entangled. This behaviour can be explained by path indistinguishability with identical dispersion. To achieve an all-order dispersion experiment that cannot be explained classically, we modified the experiment and performed another all-order dispersion cancellation experiment that cannot be explained by identical dispersion. This is the first demonstration of nonclassical all-order dispersion cancellation.