Correspondence between field generalized binomial states and coherent atomic states

TL;DR

This paper establishes a bijective mapping between N-photon generalized binomial states of electromagnetic fields and coherent atomic states of N two-level atoms, enabling new insights and basis constructions.

Contribution

It introduces a novel correspondence that simplifies the analysis of generalized binomial states and derives new basis sets and properties.

Findings

Over-complete basis of binomial states obtained

Orthogonal basis of binomial states constructed

Squeezing properties analyzed

Abstract

We show that the $N$-photon generalized binomial states of electromagnetic field may be put in a bijective mapping with the coherent atomic states of $N$ two-level atoms. We exploit this correspondence to simply obtain both known and new properties of the $N$-photon generalized binomial states. In particular, an over-complete basis of these binomial states and an orthonormal basis are obtained. Finally, the squeezing properties of generalized binomial state are analyzed.