Higher order nonclassicality from nonlinear coherent states for models with quadratic spectrum

TL;DR

This paper investigates the nonclassical properties of nonlinear coherent states in models with quadratic spectra, revealing they exhibit stronger nonclassicality compared to other models, supported by analysis of squeezed states.

Contribution

It introduces a comparative analysis of nonclassicality in nonlinear coherent states across models with quadratic spectra, highlighting their enhanced nonclassical features.

Findings

Models with quadratic spectrum are more nonclassical.

Nonlinear coherent states show significant nonclassical properties.

Squeezed states confirm higher nonclassicality in quadratic spectrum models.

Abstract

Harmonic oscillator coherent states are well known to be the analogue of classical states. On the other hand, nonlinear and generalised coherent states may possess nonclassical properties. In this article, we study the nonclassical behaviour of nonlinear coherent states for generalised classes of models corresponding to the generalised ladder operators. A comparative analysis among them indicates that the models with quadratic spectrum are more nonclassical than the others. Our central result is further underpinned by the comparison of the degree of nonclassicality of squeezed states of the corresponding models.