Solving quantum dynamics with a Lie algebra decoupling method

Understand

At the heart of quantum technology development is the control of quantum systems at the level of individual quanta.

• Mathematically, this is realised through the study of Hamiltonians and the use of methods to solve the dynamics of quantum systems in various regimes.
• Here, we present a pedagogical introduction to solving the dynamics of quantum systems by the use of a Lie algebra decoupling theorem.
• As background, we include an overview of Lie groups and Lie algebras aimed at a general physicist audience.