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We study the dynamics of the atomic inversion, scaled atomic Wehrl entropy, and marginal atomic

Entanglement is a property of correlations between two or more quantum systems [

It is well known that the Jaynes-Cummings model (JCM) becomes more a realistic and experimental model under the effect of damping [

Over the last two decades, much attention has been focused on information entropies as a measure of the entanglement in quantum information [

In this article, we consider another extension of the problem by considering what is called the scaled atomic Wehrl entropy associated with the reduced atomic density operator as an entanglement quantifier of a tow-level atom interaction with coherent field under the effect of atomic damping. We focus on the effect of the atomic damping and number of photon transition on the evolution of the atomic inversion, scaled atomic Wehrl entropy, and marginal atomic

The paper is organized as follows. In Section

The interaction between radiation and matter is a central problem in quantum optics and information. The simplest physical situation can be successfully described by a rather simplified but nontrivial model which is popularly known as the JCM [

We consider the master equation which describes only the atomic damping:

The exact solution for this equation in the case of a high-

To derive (

All information about the system is involved in the total density matrix (

We close this section by presenting the concept of the atomic population inversion which is considered as the simplest important quantity to be calculated. It is related to the difference between the probabilities of finding the atom in the exited state and ground state:

The atomic Wehrl entropy is a useful tool to investigate dynamical properties of quantum systems that contains all the information about the system dynamics, being completely equivalent to the atomic density operator and it can be interpreted as being an information measure for such joint measurement. The atomic Wehrl entropy can be used as a quantifier of the quantum entanglement between two-level atom and coherent field. Also, the information about the system dynamics and entanglement can be obtained through the marginal distribution of the atomic

In this section, we investigate the marginal atomic

The scaled atomic Wehrl entropy can be written in terms of the atomic

It is worth noting that from the definition (

One can easily check that the

In this section, we depict the atomic inversion, scaled atomic Wehrl entropy, and marginal atomic

In Figure

The evolution of the atomic population inversion

The evolution of the scaled atomic Wehrl entropy

Now, it is the time to discuss the effect of the number of photons transition and atomic damping on the dynamical properties of the

In Figure

The surface plot of the marginal atomic

Quantum information technology largely relies on a precious and fragile resource, called quantum entanglement, which exhibits a highly nontrivial manifestation of the coherent superposition of states of composite quantum systems. However, our knowledge of the time evolution of this resource under realistic conditions, that is, when corrupted by environment-induced damping, is so far limited, and general statements on entanglement dynamics in open systems are scarce. In the present work, we will describe quantitatively the quantum entanglement between an atom and coherent field in terms of multiphoton and atomic damping processes especially, considering a two-level atom interaction with a single-mode quantized field in a coherent state and taking into account the number of multiphoton transition and atomic damping effect.

In this paper, we have studied the atomic inversion, scaled atomic Wehrl entropy, and marginal atomic

We consider two distinct cases of the dynamics of

It is well known that the study of the physical properties of the atom-field interaction is a central and important problem in quantum optics and information. In this regard, our results show that the field-atom interaction considering the multiphoton processes and atomic damping effect have much richer structure. An important future investigation will be the study of the effect of the phase and cavity damping on the evolution of scaled atomic Wehrl entropy and marginal atomic