Interferometric signature of different spectral symmetries of biphoton states

• URL: http://arxiv.org/abs/2112.09610v3
• Date: Mon, 23 May 2022 07:42:26 GMT
• Title: Interferometric signature of different spectral symmetries of biphoton states
• Authors: Nicolas Fabre
• Abstract summary: We investigate the influence of the symmetry of the biphoton wavefunction on the coincidence measurement of the generalized Mach-Zehnder interferometer. We show that the generalized MZ interferometer is the measurement of the short-time Fourier transform of the function modeling the energy conservation of a spontaneous down-conversion process.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we investigate the influence of the symmetry of the biphoton wavefunction on the coincidence measurement of the generalized Mach-Zehnder (MZ) interferometer, where there are a temporal and frequency shift operations between the two beam-splitters. We show that the generalized MZ interferometer is the measurement of the short-time Fourier transform of the function modeling the energy conservation of a spontaneous parametric down-conversion process if the full biphoton state is symmetric, and of the symmetric characteristic distribution of the phase-matching function if the state is antisymmetric. Thus, this technique is phase-sensitive to the spectral distribution of the photon pairs. Finally, we investigate in detail the signature of a pair of anyons whose peculiar statistics can be simulated by engineering the spectrum of photon pairs.

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