Wed, 29 Mar 2023, 10.48550/arXiv.2303.16449

By Francesco Campaioli, Jared H. Cole, Harini Hapuarachchi

This is a collection of scripts and examples linked to the tutorial on quantum master equations, available at arXiv:2303.16449. Please refer to the tutorial to navigate the content. Each example is linked to a script via the external link icon as below:

An additional set of interactive examples in the form of Jupyter Notebooks is available in the examples folder.

Please get in touch if you have any feedback!

Quantum master equations are an invaluable tool to model the dynamics of a plethora of microscopic systems, ranging from quantum optics and quantum information processing, to energy and charge transport, electronic and nuclear spin resonance, photochemistry, and more. This tutorial offers a concise and pedagogical introduction to quantum master equations, accessible to a broad, cross-disciplinary audience. The reader is guided through the basics of quantum dynamics with hands-on examples that build up in complexity. The tutorial covers essential methods like the Lindblad master equation, Redfield relaxation, and Floquet theory, as well as techniques like Suzuki-Trotter expansion and numerical approaches for sparse solvers. These methods are illustrated with code snippets implemented in Python and other languages, which can be used as a starting point for generalisation and more sophisticated implementations.