Oscillations in the wavelength distributions following photon interferences

Very recently, interferences using a single electron source were studied experimentally [1] and theoretically [2]. Briefly, a He$^{2+}$ ion captures both electrons from H$_{2}$ in a doubly excited state 2l2l'. After the collision, one He$^{\ast \ast }$ electron is emitted by Auger effect. In the backward direction, it scatters both protons, producing oscillations in the angular distribution of the intensity, due to Young-type interferences. Moreover, we found that the width of the energy distribution also oscillates, with the same period but in counter phase with the intensity oscillations. Since this experimental resembles the original double-slit experiment by Young (1807), we investigated photon interferences in order to determine the wavelength distribution as a function of the position on the detection screen. A detailed analysis reveals maxima and minima in the width distribution, corresponding to minima and maxima in intensity, respectively, inducing a complete analogy between electron and photon interferences [1] J.-Y. Chesnel \textit{et al}., Phys. Rev. Lett. \textbf{98} 100403 (2007). [2] R. O. Barrachina and M. Zitnik, J. Phys. B \textbf{37} 3847 (2004).