Nonclassicality in Two-Mode New Generalized Binomial State

TL;DR

This paper investigates nonclassical properties such as antibunching, squeezing, and entanglement in a two-mode New generalized binomial state, extending previous single-mode studies and analyzing various quantum correlation criteria.

Contribution

It provides the first detailed analysis of nonclassicality in two-mode NGBS, including general moment expressions and exploration of multiple entanglement criteria.

Findings

Antibunching, squeezing, and SV entanglement are achievable in NGBS.

Entanglement criteria like EPR and SU(1,1) are not satisfied in this state.

The study extends nonclassicality analysis from single-mode to two-mode states.

Abstract

The study of nonclassical properties of two-mode quantum states is particularly useful in quantum information theory because of the possibilities of obtaining entanglement and other two-mode quantum correlations in these states. Here we have investigated the possibilities of the existence of nonclassicality in a two-mode New generalized binomial state (TMNGBS). Specifically two-mode antibunching, Quadrature squeezing, sum \& difference squeezing, and various entanglement criteria e.g Shchukin-Vogel entanglement criterion, the uncertainty relation of SU(1,1) Algebra and EPR entanglement criterion are explored in two mode particular example of quantum state named as New generalized binomial state. Earlier we studied nonclassicality in single-mode NGBS, here we are extending our study toward the two-mode version of a quantum state. Here we provide the general expressions of moments for a two-mode quantum state (Fock basis) and explore the quantification in a particular example NGBS. It is found that antibunching, squeezing, and SV entanglement are possible with different limits of depending parameters but the entanglement criteria (EPR, SU (1,1) algebra and Cauchy - Schwarz inequality based)for NGBS are not possible. This study opens up the possibility of exploring the two-mode nonclassicality in other states too.