Eur. Phys. J. Special Topics 160, 247-257 (2008)
https://doi.org/10.1140/epjst/e2008-00728-5

Correspondence between generalized binomial field states and coherent atomic states

CNISM and Dipartimento di Scienze Fisiche ed Astronomiche, Università di Palermo, via Archirafi 36, 90123 Palermo, Italy

Corresponding author: lofranco@fisica.unipa.it

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.