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

TL;DR

This paper models a hydrogen atom and He+ ion within an optical cavity using the Pauli-Fierz Hamiltonian, revealing how cavity size impacts energy levels, entanglement, and high harmonic generation spectra.

Contribution

It introduces a tensor-product light-matter basis to solve the system at the quantum level, analyzing cavity size effects on atomic properties and HHG spectrum.

Findings

Cavity size significantly alters energy levels and transition states.

Entanglement between light and matter is affected by cavity dimensions.

High harmonic generation spectrum depends strongly on cavity size.

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.