Abstract

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.

Highlights

  • Entanglement is a property of correlations between two or more quantum systems [1]

  • We depict the atomic inversion, scaled atomic Wehrl entropy, and marginal atomic Q-function dynamics of a single two-level atom interacting with one-mode cavity field under the action of atomic damping for various for the case of one and two photon process

  • One wants to discover the relation between the dynamics of the quantum entanglement quantified by the scaled atomic Wehrl entropy

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Summary

Introduction

Entanglement is a property of correlations between two or more quantum systems [1]. These correlations defy classical description and are associated with intrinsically quantum phenomena. There exists a theoretical motivation to include relevant damping mechanism to the JC model because its dynamics becomes more interesting In this regard, many authors have treated the JCM with dissipation by the use of analytic approximations [10, 11] and numerical calculations [12,13,14].

Model Hamiltonian and Master Equation
Atomic Wehrl Entropy and Marginal Distribution
Numerical Results
Conclusion

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