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<p>We study the <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\mathcal{P}\mathcal{T}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="script">P</mi> <mi mathvariant="script">T</mi> </mrow> </math></EquationSource> </InlineEquation> symmetry, dynamical evolution, entanglement and atomic population inversion of the non-Hermitian double Jaynes–Cummings model with <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\mathcal{P}\mathcal{T}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="script">P</mi> <mi mathvariant="script">T</mi> </mrow> </math></EquationSource> </InlineEquation> symmetry based on a given initial entangled state. We find that the presence of non-Hermitian terms divides the system into two distinct symmetry phases and leads to different behaviors. In the <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\mathcal{P}\mathcal{T}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="script">P</mi> <mi mathvariant="script">T</mi> </mrow> </math></EquationSource> </InlineEquation> symmetry phase, there exists Rabi oscillation caused by stable interactions between photons and atoms, and the entanglement exhibits entanglement sudden death (ESD) and entanglement sudden birth (ESB) phenomena. Meanwhile, the atomic population inversion changes periodically over time. As the coupling constant increases, the system transits from <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\mathcal{P}\mathcal{T}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="script">P</mi> <mi mathvariant="script">T</mi> </mrow> </math></EquationSource> </InlineEquation> symmetry phase to <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\mathcal{P}\mathcal{T}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="script">P</mi> <mi mathvariant="script">T</mi> </mrow> </math></EquationSource> </InlineEquation> symmetry breaking phase. In the symmetry breaking phase, the entanglement evolves to a nonzero value under certain circumstances, and the atomic population inversion shows similar feature. This study help us to understand the effect of symmetry on the interaction between photons and atoms in non-Hermitian system.</p>

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Stable entanglement in \(\mathcal{P}\mathcal{T}\) symmetric non-Hermitian double Jaynes–Cummings model

  • 期刊论文

  • 发表日期：

    2026年7月20日

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  • Bao-gang Zhu,
  • Ze-kai Tian,
  • Yi-Lin Yang,
  • Zhong-Xiao Man

摘要

We study the \(\mathcal{P}\mathcal{T}\) P T symmetry, dynamical evolution, entanglement and atomic population inversion of the non-Hermitian double Jaynes–Cummings model with \(\mathcal{P}\mathcal{T}\) P T symmetry based on a given initial entangled state. We find that the presence of non-Hermitian terms divides the system into two distinct symmetry phases and leads to different behaviors. In the \(\mathcal{P}\mathcal{T}\) P T symmetry phase, there exists Rabi oscillation caused by stable interactions between photons and atoms, and the entanglement exhibits entanglement sudden death (ESD) and entanglement sudden birth (ESB) phenomena. Meanwhile, the atomic population inversion changes periodically over time. As the coupling constant increases, the system transits from \(\mathcal{P}\mathcal{T}\) P T symmetry phase to \(\mathcal{P}\mathcal{T}\) P T symmetry breaking phase. In the symmetry breaking phase, the entanglement evolves to a nonzero value under certain circumstances, and the atomic population inversion shows similar feature. This study help us to understand the effect of symmetry on the interaction between photons and atoms in non-Hermitian system.