Modeling of Far-Field Quantum Coherence by Dielectric Bodies Based on the Volume Integral Equation Method

• URL: http://arxiv.org/abs/2508.16471v1
• Date: Fri, 22 Aug 2025 15:39:49 GMT
• Title: Modeling of Far-Field Quantum Coherence by Dielectric Bodies Based on the Volume Integral Equation Method
• Authors: Chengnian Huang, Hangyu Ge, Yijia Cheng, Zi He, Feng Liu, Wei E. I. Sha,
• Abstract summary: Hong-Ou-Mandel (HOM) effect is a hallmark of nonclassical photon interference.<n>No efficient numerical framework directly links classical electromagnetic quantities to quantum correlation functions.<n>We present a unified theoretical and computational framework for evaluating far-field HOM interference.
• Score: 7.301530700055423
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Hong-Ou-Mandel (HOM) effect is a hallmark of nonclassical photon interference. Accurate modeling of angle-resolved two-photon correlations in complex dielectric structures remains challenging because no efficient numerical framework directly links classical electromagnetic quantities to quantum correlation functions. We present a unified theoretical and computational framework for evaluating far-field HOM interference from arbitrary dielectric bodies. By quantizing plane-wave scattering modes and computing their far-field responses with a volume integral equation (VIE) solver, we determine the second-order normalized correlation function without near-to-far-field transformations or perfectly matched layers. This enables efficient evaluation of frequency-domain correlations and time-domain coincidence counts for photon wave packets. The approach is validated against analytical results for dielectric spheres and applied to a polarization-converting Pancharatnam-Berry-phase metasurface, revealing strong angular dependence of quantum interference that correlates with the characteristics of the HOM dip. The framework offers a computationally efficient and physically transparent tool for exploring structure-dependent quantum correlations, with applications to quantum antennas, metasurface-based quantum state engineering, and quantum inverse design.

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