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Optical resonators with cubic nonlinearity were among the first simplest physical systems proposed for generation of squeezed states of light as well as for verification of quantum nondemolition measurement concept. These conventional squeezed states are characterized with Gaussian statistics and positive Wigner function and are frequently treated as semiclassical. In contrast, it is known that the quantum states resulting from the higher order self-phase modulation are characterized with negative Wigner function. Such states can be transformed to an imperfect Fock state via classical biasing. Using these known features, we have developed an experiment strategy for observation and characterization of the nonclassical state in a system based on a high-Q nonlinear optical microcavity. We discuss technical limitations for the state observation associated with the losses in the system and technical noise of the classical optical sources involved in the measurement.
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S. N. Balybin, F. Ya. Khalili, D. V. Strekalov, A. B. Matsko, I. A. Bilenko, "On perspectives of generating quasi-Fock state via resonant self-phase-modulation," Proc. SPIE 11558, Quantum and Nonlinear Optics VII, 115580A (10 October 2020); https://doi.org/10.1117/12.2575373