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<p>In this work, we investigate the effects of fractional-order dynamics on SU(1,1) quantum system interacting with two two-level atoms. Using a&#xa0;fractional Hamiltonian framework, we analyze the time evolution of key quantum information measures, including the quantum Fisher information, the I<sub>1</sub>-norm of coherence, and quantum steering. The atomic subsystem is initially prepared in the superposition state, while the SU(1,1) quantum system is assumed to be in the Perelomov coherent state. The obtained results show that the fractional parameters play a&#xa0;crucial role in controlling and enhancing the non classical properties of the system. This study provides a&#xa0;deeper understanding of how fractional dynamics can be used to control and optimize quantum correlations in SU(1,1)-atom interaction systems and suggest potential applications in quantum metrology, quantum sensing, and quantum communication.</p>

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Investigation of fractional quantum information measures in an SU(1,1) quantum system coupled to two atoms

  • 期刊论文

  • 发表日期：

    2026年6月1日

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  • S. Sanad,
  • S. Al-Awfi,
  • E. M. Khalil,
  • H. F. Habeba

摘要

In this work, we investigate the effects of fractional-order dynamics on SU(1,1) quantum system interacting with two two-level atoms. Using a fractional Hamiltonian framework, we analyze the time evolution of key quantum information measures, including the quantum Fisher information, the I1-norm of coherence, and quantum steering. The atomic subsystem is initially prepared in the superposition state, while the SU(1,1) quantum system is assumed to be in the Perelomov coherent state. The obtained results show that the fractional parameters play a crucial role in controlling and enhancing the non classical properties of the system. This study provides a deeper understanding of how fractional dynamics can be used to control and optimize quantum correlations in SU(1,1)-atom interaction systems and suggest potential applications in quantum metrology, quantum sensing, and quantum communication.