TY - JOUR A1 - Menzel, Ralf A1 - Marx, Robert A1 - Puhlmann, Dirk A1 - Heuer, Axel A1 - Schleich, Wolfgang T1 - The photon BT - the role of its mode function in analyzing complementarity JF - Journal of the Optical Society of America : B, Optical physics N2 - We investigate the role of the spatial mode function in a single-photon experiment designed to demonstrate the principle of complementarity. Our approach employs entangled photons created by spontaneous parametric downconversion from a pump mode in a TEM01 mode together with a double slit. Measuring the interference of the signal photons behind the double slit in coincidence with the entangled idler photons at different positions, we select signal photons of different mode functions. When the signal photons belong to the TEM01-like double-hump mode, we obtain almost perfect visibility of the interference fringes, and no "which slit" information is available in the idler photon detected before the slits. This result is remarkable because the entangled signal and idler photon pairs are created each time in only one of the two intensity humps. However, when we break the symmetry between the two maxima of the signal photon mode structure, the paths through the slits for these additional photons become distinguishable and the visibility vanishes. It is the mode function of the photons selected by the detection system that decides if interference or "which slit" information is accessible in the experiment. Y1 - 2019 U6 - https://doi.org/10.1364/JOSAB.36.001668 SN - 0740-3224 SN - 1520-8540 VL - 36 IS - 6 SP - 1668 EP - 1675 PB - Optical Society of America CY - Washington ER -