Wigner distribution, nonclassicality and decoherence of generalized and reciprocal binomial states

TL;DR

This paper investigates the nonclassical properties and decoherence dynamics of finite superpositions of Fock states, specifically generalized and reciprocal binomial states, using phase space distributions like the Wigner function.

Contribution

It demonstrates the nonclassicality of FSFS via phase space distributions and analyzes their decoherence under amplitude decay and phase damping channels.

Findings

Nonclassicality confirmed through Wigner and Q-functions.

Decoherence behavior characterized in amplitude decay and phase damping.

Specific analysis of generalized and reciprocal binomial states.

Abstract

There are quantum states of light that can be expressed as finite superpositions of Fock states (FSFS). We demonstrate the nonclassicality of an arbitrary FSFS by means of its phase space distributions such as the Wigner function and the $Q$-function. The decoherence of the FSFS is studied by considering the time evolution of its Wigner function in amplitude decay and phase damping channels. As examples, we determine the nonclassicality and decoherence of generalized and reciprocal binomial states.