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Applied Mathematics & Information Sciences

Dynamic of Scaled Atomic Phase Entropy of a Single Two-Level Atom Interaction with SU(1,1) Quantum System

M. M. A. Ahmed, M. Qothamey, S. Abdel‐Khalek

Published Jan 11, 2014• 2 citations
Publisher

Abstract

In this paper, we study the dynamics of the atomic inversion, scaled atomic Wehrl entropy and marginal atomic Q-function for a single two-level atom interacting with SU(1,1) quantum system. We obtain the wave function and system density matrix using specific initial conditions. We examine the effects of different parameter s on the scaled atomic Wehrl entropy, atomic Q-function and their marginal distribution. We observe an interesting monotonic relation between the different physical quantities for different values of the initial atomic position and detuning parameter

DOI
10.12785/amis/080319

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In this paper, we study the dynamics of the atomic inversion, scaled atomic Wehrl entropy and marginal atomic Q-function for a single two-level atom interacting with SU(1,1) quantum system. We obtain the wave function and system density matrix using specific initial conditions. We examine the effects of different parameter s on the scaled atomic Wehrl entropy, atomic Q-function and their marginal distribution. We observe an interesting monotonic relation between the different physical quantities for different values of the initial atomic position and detuning parameter
In this paper, we study the dynamics of the atomic inversion, scaled atomic Wehrl entropy and marginal atomic Wehrl density for a single two-level atom interacting with SU(1,1) quantum system. We obtain the expectation values of the atomic variables using specific initial conditions. We examine the effects of different parameters on the scaled atomic Wehrl entropy and marginal atomic Wehrl density. We observe an interesting monotonic relation between the different physical quantities for different values of the initial atomic position and detuning parameter.
We study the dynamics of the atomic inversion, scaled atomic Wehrl entropy, and marginal atomicQ-function for a single two-level atom interacting with a one-mode cavity field taking in the presence of atomic damping. We obtain the exact solution of the master equation in the interaction picture using specific initial conditions. We examine the effects of atomic damping parameter and number of multiphoton transition on the scaled atomic Wehrl entropy, atomicQ-function, and their marginal distribution. We observe an interesting monotonic relation between the different physical quantities in the case of different values of the number of photon transition during the time evolution.
We propose the use of atomic Wehrl entropy associated to the reduced atomic density operator as an entanglement indicator of bipartite systems. This is applied to a two-level system (one single harmonically trapped ion) by taking into account the linear center-of-mass-motional degree of freedom. Detailed analytical and explicit expressions are given, taking into account different configurations. The results show the important roles played by the laser phase and initial state setting in the evolution of the atomic Q-function, atomic Wehrl entropy and marginal atomic Q-function. Our procedure of using atomic Wehrl entropy may be applied to a system with Hilbert space of high dimension.
In this paper, we investigate a system Hamiltonian describing the interaction between SU(1,1) quantum system and a three-level atom in Λ configuration in presence of a classical external field. Appropriate conical transformations are performed for the atom matrices. The analytical solution of the model is obtained by using the Schrödinger equation. Then the atomic density operator of the proposed system is obtained. The effect of the detuning parameter and the classical external field on the atomic levels occupation, atomic entropy squeezing, variance squeezing, atomic Q-function and atomic Wehrl density are investigated for certain chosen values of the classical field parameter and the detuning parameter. The obtained results has a potential applications to topics related to ideal and real laser.
This contribution describes new features of the atomic Wehrl entropy in a multi-quanta two-level system in the presence of the Kerr medium. A definition of the atomic Wehrl entropy is presented for this system, based on the atomic Q -function as information measurement about the atomic phase space. The influence of the nonlinear interaction of the Kerr medium, Stark shift, one and two-photon processes and the detuning parameters on the properties of the atomic Wehrl entropy is examined. The atomic Wehrl entropy gives equivalent results to the von Neumann entropy.