Magneto-Electric response functions for simple atomic systems

TL;DR

This paper calculates the magneto-electric response functions of a simple atomic two-body system in static fields, revealing frequency-dependent behavior from first principles for harmonic and Coulomb potentials.

Contribution

It provides a first-principles calculation of magneto-electric responses for atomic systems with different binding potentials across frequencies.

Findings

Response function decreases as 1/ω^2 at high frequencies.

Response function approaches a constant at low frequencies.

Results apply to both harmonic oscillator and Coulomb potential models.

Abstract

We consider a simple atomic two-body bound state system that is overall charge neutral and placed in a static electric and magnetic field, and calculate the magneto-electric response function as a function of frequency. This is done from first principles using a two-particle Hamiltonian for both an harmonic oscillator and Coulomb binding potential. In the high frequency limit, the response function falls off as 1/\omega^2 whilst at low frequencies it tends to a constant value.