Regensburg 2019 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Many-body Quantum Dynamics
DY 29.5: Talk
Wednesday, April 3, 2019, 10:45–11:00, H19
Time evolution methods for matrix-product states — •Sebastian Paeckel1, Thomas Köhler1, Andreas Swoboda2, Salvatore R. Manmana1, Ulrich Schollwöck2, and Claudius Hubig3 — 1Institut für Theoretische Physik, Universität Göttingen — 2Departement of Physics and Arnold Sommerfeld Center for Theoretical Physics, LMU München — 3Max-Planck-Institut für Quantenoptik Garching
Matrix-product states (MPS) have become the de facto standard for the investigation of one-dimensional quantum many body systems, also out-of-equilibrium. Various approaches have been introduced for computing the time evolution of MPS, e.g., a time-dependent variational principle (TDVP) for MPS as well as matrix product operator (MPOs) representations of the time evolution operator. In this talk I review important developments and compare five commonly used methods applied to representative examples, including systems with long-ranged interactions or in 2D. These results give insights to the state-of-the-art treatment of MPS out-of-equilibrium and a guideline for which method to choose for a problem at hand.
Financial support via Research Unit FOR1807 (project P07) and SFB/CRC (project B03) from the Deutsche Forschungsgemeinschaft (DFG) is gratefully acknowledged.