Using a modified version of the Tavis-Cummings-Hubbard model to simulate the formation of neutral hydrogen molecule

Abstract

A finite-dimensional chemistry model with two two-level artificial atoms on quantum dots positioned in optical cavities, called the association-dissociation model of neutral hydrogen molecule, is described. The initial circumstances that led to the formation of the synthetic neutral hydrogen molecule are explained. In quantum form, nuclei's mobility is portrayed. The association of atoms in the molecule is simulated through a quantum master equation, incorporating hybridization of atomic orbitals into molecular - depending on the position of the nuclei. Consideration is also given to electron spin transitions. Investigated are the effects of temperature variation of various photonic modes on quantum evolution and neutral hydrogen molecule formation. Finally, a more precise model including covalent bond and simple harmonic oscillator (phonon) is proposed.

19 pages, 12 figures

References in corpus (5)

• Microwave photonics with superconducting quantum circuits
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• What the foundations of quantum computer science teach us about chemistry
• Quantum Electrodynamics of Dicke States: Resonant One-Photon Exchange and Entangled Decay Rate

Cited by in corpus (9)

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• Comparing the effects of nuclear and electron spins on the formation of neutral hydrogen molecule
• Investigating entropic dynamics of multiqubit cavity QED system
• Distributed computing quantum unitary evolution
• Supercomputer model of finite-dimensional quantum electrodynamics applications
• Simulating and investigating various dynamic aspects of the ${\mathrm{H}}_2\mathrm{O}$-related hydrogen bond model
• Quantum electrodynamic description of ionization of the neutral hydrogen molecule
• Studying the effect of phonon coherence and inflow on hydrogen bond formation in the $[({\mathrm{H}}_2\mathrm{O}{)}_2{]}^m$ cluster
• Simulating and comparing the quantum and classical mechanical motion of two hydrogen atoms