Dresden 2017 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 19: Poster Session: Correlated Electrons 1

TT 19.67: Poster

Montag, 20. März 2017, 15:00–19:00, P2-EG

Time propagation of systems with long range interaction in the framework of matrix product states — •Lars-Hendrik Frahm, Maximilian Hollstein, and Daniela Pfannkuche — I. Institut für Theoretische Physik, Universität Hamburg

The framework of matrix product states (MPS) has been seen to be more than just a compact technique to describe correlations in the density matrix renormalization group (DMRG) method. Among many other applications, MPS also turned out to allow for an efficient treatment of time-dependent systems. In this contribution, we benchmark the time-dependent MPS concept for systems with long range interaction (e.g. molecules). This type of system is especially challenging to approach since there is no fundamental law that guarantees a proper MPS representation (like there is for ground states in 1D local systems). We discuss how to capture the necessary correlations with truncated MPS and how this truncation influences the time evolution after a quench. We compare our results to the time-dependent multi-reference configuration interaction singles (TDMRCIS) method, which is able to capture all correlations but only in a specific subspace of Hilbert space.