Photon Statistics for Fock and Coherent States Interfering in a Beamsplitter

• URL: http://arxiv.org/abs/2508.08223v2
• Date: Fri, 07 Nov 2025 14:51:09 GMT
• Title: Photon Statistics for Fock and Coherent States Interfering in a Beamsplitter
• Authors: Jhordan A. T. Santiago,
• Abstract summary: We analyze the output states for different combinations of input fields, including Fock states $|nrangle|mrangle$, hybrid states $|nrangle|alpharangle$, and coherent states $|alpharangle|betarangle$.<n>Our results are intended as a pedagogical resource, serving as an introductory reference for students and researchers aiming to understand basic photon statistics using beamsplitters.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a straightforward yet comprehensive theoretical study of different quantum states emerging from a bi-modal beamsplitter when various input states interfere. Specifically, we analyze the output states for different combinations of input fields, including Fock states $|n\rangle|m\rangle$, hybrid states $|n\rangle|\alpha\rangle$, and coherent states $|\alpha\rangle|\beta\rangle$. We derive explicit expressions for the output state vectors, calculate the mean photon number, photon number variance, Mandel Q parameter, and secondorder coherence function to characterize the statistical properties of the output fields. Our results are intended as a pedagogical resource, serving as an introductory reference for students and researchers aiming to understand basic photon statistics using beamsplitters.

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