Quantum control is a grand challenge for quantum science and technology. It entails the application of forces to steer a quantum system from a given initial state to a final state with desired properties. Examples include controlling open quantum systems such as material defects and chemical processes through the entanglement of electronic and nuclear degrees of freedom induced by ultrashort (atto- and few-femtosecond) laser pulses. The accurate simulation of such processes remains highly challenging. Solving the time-dependent Schrödinger equation encompasses a broad range of methodologies: from single-particle wavefunctions represented on grids or via adaptive basis functions, through time integration of stiff ordinary differential equations while preserving physical invariants, software development and high-performance computing, 3D visualization, and the development and application of machine-learning models to determine optimal laser-pulse parameters. The exact formulation of the project will depend on the student’s interests.
Prerequisite knowledge:
Recommended courses to take during first semesters of master programme: