Quantum phase fluctuation of pointer state in a post-selected measurement system

Post-selected measurement is used as a fundamental axiom in quantum optics. Here, a standard model of post-selected measurement with the input coherent pointer state is considered and the influence of weak value parameters on the quantum phase distribution function is studied on the basis of some analytical calculations. On the other hand, the effects of post-selected measurement on quantum phase fluctuations of the input coherent pointer states have been investigated, where the Barnett-Pegg formalism for the measured phase operators is assumed. It has been observed that the quantum phase fluctuations depend on some parameters such as the coupling strength, average value of input photon number, phase angle of the input coherent pointer state and two fundamental parameters of the complex weak value. Lastly, the presence of nonclassical effect is also checked for different parameters of quantum phase fluctuations.