CoOMBE: A suite of open-source programs for the integration of the optical Bloch equations and Maxwell-Bloch equations

Potvliege, R.M.; Wrathmall, S.A.

Abstract

The programs described in this article and distributed with it aim (1) at integrating the optical Bloch equations governing the time evolution of the density matrix representing the quantum state of an atomic system driven by laser or microwave fields, and (2) at integrating the 1D Maxwell-Bloch equations for one or two laser fields co-propagating in an atomic vapour. The rotating wave approximation is assumed. These programs can also be used for more general quantum dynamical systems governed by the Lindblad master equation. They are written in Fortran 90; however, their use does not require any knowledge of Fortran programming. Methods for solving the optical Bloch equations in the rate equations limit, for calculating the steady-state density matrix and for formulating the optical Bloch equations in the weak probe approximation are also described.

Citation

Potvliege, R., & Wrathmall, S. (2025). CoOMBE: A suite of open-source programs for the integration of the optical Bloch equations and Maxwell-Bloch equations. Computer Physics Communications, 306, Article 109374. https://doi.org/10.1016/j.cpc.2024.109374

• Journal Article Type: Article
• Acceptance Date: Sep 6, 2024
• Online Publication Date: Sep 11, 2024
• Publication Date: 2025-01
• Deposit Date: Oct 14, 2024
• Publicly Available Date: Oct 14, 2024
• Journal: Computer Physics Communications
• Print ISSN: 0010-4655
• Electronic ISSN: 1879-2944
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 306
• Article Number: 109374
• DOI: https://doi.org/10.1016/j.cpc.2024.109374
• Public URL: https://durham-repository.worktribe.com/output/2957394