Description of the hydrogen atom and the He+ ion in an optical cavity using the Pauli-Fierz Hamiltonian

2024/07/11 by Yetmgeta S. Aklilu, Aklilu, Yetmgeta, K. Varga +1
Physics and Astronomy · #Atomic and Subatomic Physics Research #Chemical Physics (physics.chem-ph) #Cold Atom Physics and Bose-Einstein Condensates #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2407.08619

openalex publication_date 2024/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A system of one electron in a Coulomb potential in an optical cavity is solved using a tensor-product light-matter basis. The problem was treated at the level of the Pauli-Fierz Hamiltonian describing both light and matter quantum mechanically. The effect of cavity size on the energy levels and high harmonics generation (HHG) spectrum is studied. We have shown that the energy levels, transition states, entanglement, and the HHG spectrum can be strongly influenced by changing the cavity size.

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