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C01 - Density matrix reconstructions in ultrafast free electron optics

PIs: Prof. Dr. Thorsten Hohage; Prof. Dr. Claus Ropers

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.

PhD students:
Jan-Wilke Henke

Open positions:

PhD student (75%) in applied mathematics
The PhD student with background in inverse problems, optimization, differential equations or boundary element methods will perform numerical and theoretical research on the reconstruction of density matrices by solving quadratic semidefinite programs or on high resolution imaging of optical nonlinearities in plasmonic nanoparticles using boundary element methods. Please find further information under Open positions - PhD student.