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

• URL: http://arxiv.org/abs/2406.10049v1
• Date: Fri, 14 Jun 2024 13:59:55 GMT
• Title: Nonclassical features of the pointer states in the $q$-deformed post-selected weak measurement
• Authors: Seyyede Elham Mousavigharalari, Azmi Ali Altintas, Fatih Ozaydin,
• Abstract summary: We show how the precision of weak measurement is improved significantly due to $q$-deformation. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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