Jeckelmann Group, Leibniz Universität Hannover
Prof. E. Jeckelmann has more than 15 years of experience in the study of correlated quantum systems using state-of-the-art numerical methods and high-performance supercomputers. His research group focuses on the development and application of the density-matrix renormalization group (DMRG) method and related matrix product state approaches such as Vidal’s time-evolving block-decimation (TEBD), which are the most powerful numerical methods for studying low-dimensional strongly correlated systems.
In the last ten years E. Jeckelmann has pioneered and perfected several applications of DMRG, in particular to quantum impurity problems, systems with phonon degrees of freedom, and the calculation of dynamical correlation functions corresponding to spectroscopy experiments (photoemission, neutron scattering, optical conductivity, ...). Using these techniques he has provided theoretical explanations for several experimental studies of spin and charge dynamics in lowdimensional materials such as the organic conductor TTF-TCNQ and the Mott insulator SrCuO2.
Since 2003 E. Jeckelmann and his collaborators have pioneered the use of DMRG for studying the (equilibrium or linear response) dynamics of quantum impurity systems, which include the fundamental models describing nanosystems contacted to an environment. Recently they have implemented a high-performance TEBD program for simulating the nonequilibrium dynamics in models of strongly correlated electrons and spins and they have started investigating the spin and charge dynamics in such systems (for instance, transport properties) using the TEBD method.