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<p>A&#xa0;theoretical model is developed for the generation of nonclassical light in the process of Inverse Fourth-Harmonic Generation (IFHG) using a&#xa0;first-order interaction Hamiltonian under the short-time approximation framework. The analysis reveals the emergence of two-mode quadrature squeezing and bipartite entanglement as primary signatures of quantum correlations in this process. A&#xa0;larger coherent input amplitude and stronger nonlinear coupling significantly enhance the depth of quadrature squeezing. At the same time, the relative phase plays a&#xa0;decisive role in controlling interference and suppressing quantum noise. The criteria for bipartite entanglement, as outlined by Duan et&#xa0;al., are derived and satisfied. Quantitative verification of entanglement is further carried out using the Hillery-Zubairy (HZ) criteria HZ‑1 and HZ‑2, with HZ‑1 demonstrating greater sensitivity under conditions of strong coherence. The explicit dependence of these criteria on amplitude and phase highlights the tunability of entanglement through experimentally controllable parameters. In essence, IFHG emerges as a&#xa0;viable mechanism for achieving robust two-mode squeezing and bipartite entanglement, offering valuable prospects for quantum communication, continuous-variable quantum information technologies, and integrated quantum photonic systems.</p>

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Bipartite entangled states in inverse fourth-Harmonic generation

  • 期刊论文

  • 发表日期：

    2026年6月16日

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  • Sourish Sarkar,
  • Dilip Kumar Giri

摘要

A theoretical model is developed for the generation of nonclassical light in the process of Inverse Fourth-Harmonic Generation (IFHG) using a first-order interaction Hamiltonian under the short-time approximation framework. The analysis reveals the emergence of two-mode quadrature squeezing and bipartite entanglement as primary signatures of quantum correlations in this process. A larger coherent input amplitude and stronger nonlinear coupling significantly enhance the depth of quadrature squeezing. At the same time, the relative phase plays a decisive role in controlling interference and suppressing quantum noise. The criteria for bipartite entanglement, as outlined by Duan et al., are derived and satisfied. Quantitative verification of entanglement is further carried out using the Hillery-Zubairy (HZ) criteria HZ‑1 and HZ‑2, with HZ‑1 demonstrating greater sensitivity under conditions of strong coherence. The explicit dependence of these criteria on amplitude and phase highlights the tunability of entanglement through experimentally controllable parameters. In essence, IFHG emerges as a viable mechanism for achieving robust two-mode squeezing and bipartite entanglement, offering valuable prospects for quantum communication, continuous-variable quantum information technologies, and integrated quantum photonic systems.