Deformed Explicitly Correlated Gaussians

TL;DR

This paper introduces deformed correlated Gaussian basis functions for solving nonspherical potential problems, demonstrating their effectiveness in accurately modeling light-matter interactions in cavity QED systems.

Contribution

The paper presents a new class of deformed Gaussian basis functions and methods to compute their matrix elements, enabling better modeling of nonspherical potentials in quantum systems.

Findings

Deformed Gaussian basis functions improve accuracy in light-matter coupling calculations.

They are essential for modeling nonspherical potentials like the dipole self-interaction term.

The approach enhances computational methods in cavity QED.

Abstract

Deformed correlated Gaussian basis functions are introduced and their matrix elements are calculated. These basis functions can be used to solve problems with nonspherical potentials. One example of such potential is the dipole self-interaction term in the Pauli-Fierz Hamiltonian. Examples are presented showing the accuracy and necessity of deformed Gaussian basis functions to accurately solve light-matter coupled systems in cavity QED.