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As an application of the simultaneous and continuous measurement ofnoncommutative observables formulated in our previous paper [C. Jiang and G.Watanabe, Phys. Rev. A 102, 062216 (2020)], we propose a scheme to generate thepure ideal quadrature-squeezed state in a one-dimensional harmonic oscillatorsystem by the feedback control based on such type of measurement ofnoncommutative quadrature observables. We find that, by appropriately settingthe strengths of the measurement and the feedback control, the pure idealquadrature-squeezed state with arbitrary squeezedness can be produced. This isin contrast to the scheme based on the single-observable measurement and thefeedback control, where only nonideal squeezed states with squeezing of themeasured quadrature are produced.

physical review. a/physical review, a

Application of simultaneous and continuous measurement of noncommutative  observables: Preparation of the pure ideal quadrature-squeezed state by  feedback control