Some Statistical Quantities of a Quantum System in Hypergeometric and Negative Hypergeometric Distributions

Authors

Ali Algarni, Statistics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi ArabiaFollow
S. Abdel-Khalek, Mathematics Department, Faculty of Science, Taif University, Taif, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

In this paper we introduce a quantum system of the interaction between a two-level atom and input field initially prepared in hypergeometric and negative hypergeometric distributions. We study the dynamics of nonlocal correlation measured by von Neumann entropy or the field entropy. The statistical properties of the considered field will be discussed through the evolution of Wehrl space entropy. The relationship between Wehrl space entropy and entanglement will be explored. The effects of the field distribution parameters on the evolution of statistical quantities will be examined. It is shown that when the field is closed to the classical state no quantum correlation can be found and the system return to its separable state.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100225

Recommended Citation

Algarni, Ali and Abdel-Khalek, S. (2016) "Some Statistical Quantities of a Quantum System in Hypergeometric and Negative Hypergeometric Distributions," Applied Mathematics & Information Sciences: Vol. 10: Iss. 2, Article 25.
DOI: http://dx.doi.org/10.18576/amis/100225
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/25