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

As an application of the simultaneous and continuous measurement noncommutative observables formulated in our previous paper [C. Jiang G. Watanabe, Phys. Rev. A 102, 062216 (2020)], we propose a scheme to generate pure ideal quadrature-squeezed state one-dimensional harmonic oscillator system by feedback control based on such type quadrature observables. We find that, appropriately setting strengths control, with arbitrary squeezedness can be produced. This is contrast single-observable where only nonideal squeezed states are Furthermore, discuss transient dynamics experimental feasibility scheme.