Photon-added and photon-subtracted coherent states on a sphere

TL;DR

This paper introduces photon-added and photon-subtracted coherent states on a sphere, analyzing their nonclassical properties and potential for quantum optics applications.

Contribution

It constructs and characterizes new spherical coherent states with photon addition and subtraction, highlighting their nonclassical features and state properties.

Findings

States are sub-Poissonian in nature.

Photon addition reduces squeezing, while subtraction enhances it.

States satisfy continuity, normalizability, and resolution of identity.

Abstract

In this paper, we construct the $m$-photon-added and $m$-photon-subtracted coherent states on a sphere. These states are shown to satisfy the usual conditions of continuity in the label, normalizability and the resolution of identity. The preparation of the constructed states, as the states of radiation field is considered. We examine and analyze the nonclassical properties of these states, including the photon mean number, Mandel parameter and quadrature squeezing. We find that these states are sub-Poissonian in nature, whereas the degree of squeezing is reduced (enhanced) by increasing $m$ for the photon-added (photon-subtracted) coherent states on a sphere.