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

TL;DR

This paper investigates how $q$-deformation in coherent states enhances the nonclassical features and measurement precision in post-selected weak measurements, revealing potential benefits for quantum technologies.

Contribution

It demonstrates that $q$-deformation significantly improves measurement precision and amplifies nonclassical light properties in post-selected weak measurements.

Findings

Enhanced measurement precision due to $q$-deformation

Increased nonclassical features like photon antibunching and squeezing

Potential applications in quantum technology development

Abstract

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.