Some results on convergence rates for the density matrix reconstructionMS12

Over the past few years, the research group from Prof. Claus Ropers developed a novel implementation of Ultrafast Transmission Electron Microscopy ("UTEM"). The instrument employs a "pump-probe" scheme, in which two laser pulses are coupled into the column of a transmission electron microscope (TEM). Mathematically, The problem is to reconstruct the quantum state of free-electron ensembles in terms of their density matrix, from the measurements of the final quantum state. This is an inverse problem. In this talk we will introduce our results about the uniqueness and convergence rates for the reconstruction of the density matrix. This is a joint work with Thorsten Hohage and Claus Ropers.

This presentation is part of Minisymposium “MS12 - New directions in hybrid data tomography (2 parts)
organized by: Kim Knudsen (Technical University of Denmark) , Cong Shi (Georg-August-Universität Göttingen) .

Cong Shi (Georg-August-Universität Göttingen)
image reconstruction, inverse problems, partial differential equation models