Software for Calculating Trap Induced Broadening in Potential Hydrogen Lattice Clocks

Joseph P. Scott; David Carty; Matthew P. A. Jones

doi:10.5334/jors.504

Software for Calculating Trap Induced Broadening in Potential Hydrogen Lattice Clocks

Journal of Open Research Software

Volume 14 (2026): Issue 1

By: Joseph P. Scott , David Carty and Matthew P. A. Jones

Open Access

|Mar 2026

Abstract

We present software for calculating the polarisability and atom-photon scattering rates of hydrogen atoms in S-states (orbital angular momentum l = 0). It can also calculate magic wavelengths between pairs of hydrogen S states. Such calculations are essential to the potential optical trapping of atomic hydrogen. Calculations proceed numerically via implicit summation over a basis of radial Sturmian functions. This naturally includes all contributions from both bound and unbound states. The software was developed with low-lying states in mind but applies to all S states and any hydrogen isotope. Extensions to other hydrogen-like systems or different orbital angular momentum states are possible. It is written in Python and uses NumPy and SciPy extensively. It is available via GitHub.

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Articles in this issue

DOI: https://doi.org/10.5334/jors.504 | Journal eISSN: 2049-9647

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Language: English

Submitted on: Jan 23, 2024

Accepted on: Nov 26, 2025

Published on: Mar 12, 2026

Published by: Ubiquity Press

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Python,

atomic hydrogen,

atomic polarisability,

atom-photon scattering,

implicit summation

© 2026 Joseph P. Scott, David Carty, Matthew P. A. Jones, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 14 (2026): Issue 1