Density matrix reconstructions in ultrafast free electron optics (C01)

• Subject Area: Mathematics ; Experimental Condensed Matter Physics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 432680300

In a recent joint work, we have generalized photon-induced near-field electron microscopy (PINEM) to allow for a quantum state reconstruction scheme for free electrons. In this project we will investigate the mathematical foundations of this new technique and will exploit its potential towards the nanoscale study of electron-matter interactions. Moreover, we will explore new forms of local electron spectroscopy of optical excitations. This entails the development of both new experimental and numerical tools to achieve quantitative improvements of the technique and to access new observables in electron microscopy.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1456: Mathematics of Experiment: The challenge of indirect measurements in the natural sciences
• Applicant Institution: Georg-August-Universität Göttingen
• Project Heads: Professor Dr. Thorsten Hohage; Professor Dr. Claus Ropers