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Nonlinear quantum interferometers enable us to extract the optical properties of a sample with a detection frequency different from the probe frequency using quantum correlation and quantum interference. In this work, we investigate both theoretically and experimentally the nonlinear quantum interferometer with pulsed laser excitation where a dispersive spectrometer is used for identifying the detection frequency. We show that the visibility of interferometric fringes in the spectral domain is reduced when the interferometric path difference is increased. This result will be useful for the design of pulsed laser-excited nonlinear interferometer for quantum sensing applications.
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