<p>In this work, we present a precise mathematical solution that explains how two two-level atoms interact with a multiphoton electromagnetic field inside a single-mode cavity, while specifically considering the Stark shift effect. The system is initialized with the field in a coherent state and both atoms in their excited states. The resulting model incorporates the changes in atomic energy levels induced by the Stark shift and serves as a transmission channel for the quantum teleportation of a bipartite state. Our study focuses on the combined influence of the Stark shift and photon number on teleportation fidelity and the preservation of quantum resources such as entanglement and coherence. The results reveal the existence of critical thresholds for these two parameters, below which the quality of teleportation degrades significantly. Additionally, we analyze the impact of these parameters on the Quantum Fisher Information (QFI), a key quantity for assessing the accuracy of parameter estimation after teleportation. A direct comparison between QFI and the Hilbert-Schmidt speed is also conducted to better understand the latter’s role in quantum estimation tasks.</p>

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Stark-shift impact on quantum teleportation performance using a two two-level atom-cavity system as a resource

  • S. Boulifa,
  • A. Slaoui,
  • H. El Hadfi,
  • R. Ahl Laamara

摘要

In this work, we present a precise mathematical solution that explains how two two-level atoms interact with a multiphoton electromagnetic field inside a single-mode cavity, while specifically considering the Stark shift effect. The system is initialized with the field in a coherent state and both atoms in their excited states. The resulting model incorporates the changes in atomic energy levels induced by the Stark shift and serves as a transmission channel for the quantum teleportation of a bipartite state. Our study focuses on the combined influence of the Stark shift and photon number on teleportation fidelity and the preservation of quantum resources such as entanglement and coherence. The results reveal the existence of critical thresholds for these two parameters, below which the quality of teleportation degrades significantly. Additionally, we analyze the impact of these parameters on the Quantum Fisher Information (QFI), a key quantity for assessing the accuracy of parameter estimation after teleportation. A direct comparison between QFI and the Hilbert-Schmidt speed is also conducted to better understand the latter’s role in quantum estimation tasks.