Noncommutative Deformation of Optical States

TL;DR

This paper explores how noncommutative deformation affects various optical quantum states, including coherent, squeezed, and photon-added states, revealing impacts on their non-classical properties.

Contribution

It introduces a method to deform optical states using noncommutative parameters and analyzes the resulting changes in their quantum characteristics.

Findings

Deformation alters the non-classicality of optical states.

Noncommutative parameters influence the Mandal parameter.

Deformed states exhibit modified quantum properties.

Abstract

In this paper, we study the noncommutative deformation of different optical states. We develop the deformed coherent state by using the raising and lowering operators of the quantum harmonic oscillator. This helps us to investigate the noncommutative deformation of a squeezed state in terms of noncommutative parameter, which in turn leads to the noncommutative deformation of a photon-added coherent state. This noncommutative deformation has an overall effect on the non-classicality of such states. This is done by investigating the impact of noncommutative deformation of the Mandal parameter for such states.