Reconstructing the multiphoton spatial wave function with coincidence wavefront sensing

The quantum wave function of multiple particles provides additional information which is inaccessible to detectors working alone. Here, we introduce the coincidence wavefront sensing (CWS) method to reconstruct the phase of the multiphoton transverse spatial wave function. The spatially resolved coincidence photon counting is involved. Numerical simulations of two-photon cases using the weak measurement wavefront sensor are performed to test its correctness, and the phase information hidden in the correlation are revealed. Our work provides a direct spatial way to characterize multipartite quantum systems, and leads to fundamental studies like experimental Bohmian mechanics and applications in quantum optical technologies.
Comment: 9 pages, 3 figures. Note for the third version (v3): After publication, we found the author names of the 22nd reference was misspelled, and the experimental setup of another referring letter was misinterpreted in the main text. So we corrected the names of the 22nd reference and removed the 46th reference along with its description in the main text. (c) 2023 American Physical Society