Nonclassical features of the pointer states in the q-deformed post-selected weak measurement

We study q-deformed coherent states of the Arik-Coon harmonic oscillator as the quantum resource in the post-selected weak measurement. First, we show how the precision of weak measurement is improved significantly due to q-deformation. Next, we focus on the role of the interplay between the deformation parameter and the interaction strength on the nonclassical nature of light. In particular, we show that sub-Poissonian photon distribution as characterized by Mandel parameter, photon antibunching effect, and quadrature squeezing are greatly enhanced by q-deformation. Our results not only advance the understanding of the fundamentals of q-deformed quantum mechanics, but also raise the potential to contribute to quantum technologies.