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<p>We present findings on photon antibunching and sub-Poissonian photon statistics in both the fundamental (pump) and harmonic modes, investigated up to first- and second-order Hamiltonian interactions in the context of eighth harmonic generation (EHG). Utilising the Heisenberg picture, a&#xa0;generalised interaction Hamiltonian is formulated and analysed across multiple specific scenarios. Our study focuses on the emergence of photon antibunching during short interactions. Notably, third-order photon antibunching at short timescales reveals a&#xa0;deeper degree of nonclassicality than that seen in first- and second-order cases. Enhanced nonclassical phenomena are observed under first-order coupling interactions due to the coherent entanglement of pump and harmonic fields. Furthermore, coherent or vacuum pumping leads to noticeable photon bunching in the harmonic mode. Sub-Poissonian characteristics intensify with increasing pump photon counts, emphasising that higher-order interactions significantly support the generation of nonclassical states. Minimising the second-order correlation function remains pivotal in quantum optics to realise photon antibunching.</p>

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Nonclassical signatures of field amplitudes in eighth-Harmonic generation

  • 期刊论文

  • 发表日期：

    2025年12月9日

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  • Rupesh Singh,
  • Dilip Kumar Giri

摘要

We present findings on photon antibunching and sub-Poissonian photon statistics in both the fundamental (pump) and harmonic modes, investigated up to first- and second-order Hamiltonian interactions in the context of eighth harmonic generation (EHG). Utilising the Heisenberg picture, a generalised interaction Hamiltonian is formulated and analysed across multiple specific scenarios. Our study focuses on the emergence of photon antibunching during short interactions. Notably, third-order photon antibunching at short timescales reveals a deeper degree of nonclassicality than that seen in first- and second-order cases. Enhanced nonclassical phenomena are observed under first-order coupling interactions due to the coherent entanglement of pump and harmonic fields. Furthermore, coherent or vacuum pumping leads to noticeable photon bunching in the harmonic mode. Sub-Poissonian characteristics intensify with increasing pump photon counts, emphasising that higher-order interactions significantly support the generation of nonclassical states. Minimising the second-order correlation function remains pivotal in quantum optics to realise photon antibunching.