Abstract
A statistical method is applied to predict the behaviour of a quantum model consisting of a qubit interacting with a single-mode cavity field. The qubit is prepared in excited state while the field starts from the binomial distribution state. The wave function of the proposed model is obtained. A von Neumann entropy is used to investigate the behaviour of the entanglement between the field and the qubits. Moreover, the atomic Q and Wigner functions are used to identify the behaviour of the distribution in a phase space. The simulation method is used to estimate the parameters of the proposed model to reach the best results. A numerical study is performed to estimate the specific dependency of the binomial distribution state. The results of entanglement were compared with the atomic Q and Wigner functions. The results showed that there are many maximum values of entanglement periodically. The results also confirmed a correlation between von Neumann entropy, the atomic Q , and Wigner functions.
Highlights
The problem of field interaction with an atom or atoms has gained the attention of many researchers in the field of optics and quantum information
A statistical method is used to predict the behaviour of a quantum model consisting of a qubit interacting with a single-mode cavity field is addressed
A von Neumann entropy is used to investigate the behaviour of the entanglement between the field and the qubits
Summary
The problem of field interaction with an atom or atoms has gained the attention of many researchers in the field of optics and quantum information. The study of the interaction of qubits with the single-mode field has received great interest from researchers. The effect of the interaction between the time-dependent field and a two-level atom with a single electromagnetic field. The qubit and the electromagnetic field were prepared in a separate or superposition states They were followed by a partially entangled state during the interaction of the quantum system. The effect of the nondeformed pair coherent state on the field cavity was studied, where strong entanglement was established in most of the interaction periods between quantum systems, while the deformed state generated weak entanglement [17]. The main goal of this work is to predict the degree of entanglement between quantum systems containing a qubit interaction with a single-mode cavity field.
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