Abstract

We have investigated numerically the dynamics of quantum Fisher information (QFI) and quantum entanglement (QE) of a two moving two-level atomic systems interacting with a coherent and thermal field in the presence of intrinsic decoherence (ID) and Kerr (non-linear medium) and Stark effects. The state of the entire system interacting with coherent and thermal fields is evaluated numerically under the influence of ID and Kerr (nonlinear) and Stark effects. QFI and von Neumann entropy (VNE) decrease in the presence of ID when the atomic motion is neglected. QFI and QE show an opposite response during its time evolution in the presence of a thermal environment. QFI is found to be more susceptible to ID as compared to QE in the presence of a thermal environment. The decay of QE is further damped at greater time-scales, which confirms the fact that ID heavily influences the system’s dynamics in a thermal environment. However, a periodic behavior of entanglement is observed due to atomic motion, which becomes modest under environmental effects. It is found that a non-linear Kerr medium has a prominent effect on the VNE but not on the QFI. Furthermore, it has been observed that QFI and QE decay soon under the influence of the Stark effect in the absence of atomic motion. The periodic response of QFI and VNE is observed for both the non-linear Kerr medium and the Stark effect in the presence of atomic motion. It is observed that the Stark, Kerr, ID, and thermal environment have significant effects during the time evolution of the quantum system.

Highlights

  • Quantum entanglement (QE) is a very mysterious and basic phenomenon of quantum mechanics that describes the correlations between two or more quantum systems [1]

  • We will present results of the time evolution of Quantum Fisher information (QFI) and von Neumann entropy (VNE) of a system of the two two-level atomic systems interacting with a coherent field and thermal field under the influence of

  • It is observed that QFI and VNE are highly affected by the thermal field under the influence of an intrinsic decoherence (ID), and a decrease is observed in both QFI and VNE

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Summary

Introduction

Quantum entanglement (QE) is a very mysterious and basic phenomenon of quantum mechanics that describes the correlations between two or more quantum systems [1]. The Stark shift can be usually observed in a two-photon transition [46,47] In this present paper, our main focus is to investigate the QFI and QE of two two-level moving atomic systems interacting with a coherent field and a thermal field in the presence of ID, a Kerr medium, and a Stark shift. The dynamics of the two two-level atoms by considering QFI and VNE are discussed in detail It is deduced from the numerical results that both the ID and the thermal environment play an important role during the time evolution of the quantum system. The time evolution of QFI and entanglement for two three-level atomic systems influenced by the Stark effect and the non-linear.

Intrinsic Decoherence Model
The System Hamiltonian and Its Dynamics
Numerical Results and Discussions
Conclusions
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