6533b7d8fe1ef96bd126ae40

RESEARCH PRODUCT

Correspondence between generalized binomial field states and coherent atomic states

Giuseppe CompagnoAnna NapoliR. Lo FrancoAntonino Messina

subject

quantum statesBinomial (polynomial)Basis (linear algebra)Binomial approximationGeneral Physics and AstronomyState (functional analysis)Gaussian binomial coefficientsymbols.namesakeQuantum mechanicssymbolsCoherent statesMultinomial theoremGeneral Materials ScienceOrthonormal basisStatistical physicsPhysical and Theoretical ChemistryMathematics

description

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.

https://doi.org/10.1140/epjst/e2008-00728-5