S-parametrized Distributions Research Articles

Quasidistributions and coherent states for finite-dimensional quantum systems

In recent years, an approach to discrete quantum phase spaces which comprehends all the main quasiprobability distributions known has been developed. It is the research that started with the pioneering work of Galetti and Piza, where the idea of operator bases constructed of discrete Fourier transforms of unitary displacement operators was first introduced. Subsequently, the discrete coherent states were introduced, and finally, the s-parametrized distributions, that include the Wigner, Husimi, and Glauber–Sudarshan distribution functions as particular cases. In the present work, we adapt its formulation to encompass some additional discrete symmetries, achieving an elegant yet physically sound formalism.

Superpositions of squeezed displaced Fock states: Properties and generation

The s-parametrized characteristic function for the superposition of squeezed displaced Fock states (SDFSs) is given. The s-parametrized distribution functions for the superposition of SDFSs are investigated. Various moments are calculated by using this characteristic function. The Glauber second-order coherence function is calculated. The squeezing properties of the superposition of SDFSs are studied. Analytical and numerical results for the quadrature component distributions for the superposition of a pair of SDFSs are presented. A generation scheme is discussed.