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arXiv · 2511.21430

Quantum electrodynamic description of ionization of the neutral hydrogen molecule

Hui-hui Miao
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Abstract

We investigate hydrogen molecule ionization within a unified framework combining finite-dimensional quantum electrodynamics with the Lindblad master equation, enabling systematic comparison across closed, dissipative, and influx-driven open systems. Our results reveal a universal tendency toward neutral $\mathrm{H}_2$ formation. Photon dissipation ($\gamma_\Omega$) accelerates stabilization, while electron ($\gamma_\mathrm{e}$) and phonon ($\gamma_\omega$) dissipation play distinct regulatory roles. Particle influx ($\mu_k$) induces complex energy redistribution, populating the atomic state $|\mathrm{H},\mathrm{H}\rangle$. The ionization pathway is highly sensitive to initial photon number and composition, which control spin-selective excitation channels. An embedded anode model confirms that orbital hybridization fundamentally constrains the maximum ionization probability to $3/4$. This work provides a unified theoretical foundation for quantum-controlled chemistry and cavity QED experiments.

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Hui-hui Miao. 2025-11-26. Quantum electrodynamic description of ionization of the neutral hydrogen molecule. https://doi.org/10.1142/s0217984926501484

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