Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 44: Correlated Electrons: Method Development

TT 44.12: Vortrag

Mittwoch, 3. April 2019, 18:00–18:15, H7

Simulations in 2D using isometric Projected Entangled Pair States — •Sheng-Hsuan Lin and Frank Pollmann — Department of Physics, T42, Technische Universität München, James-Franck-Straße 1, D-85748 Garching, Germany

Projected Entangled Pair States (PEPS) have been proposed as a generalization of matrix-product states (MPS) to two-dimensional systems. However, numerical algorithms based on PEPS tend to be unstable due to the lack of a proper canonical form. This problem can be addressed by introducing a gauge fixing or constraint on local tensors. In our approach, we consider PEPS consisting of isometric tensors which then allow for efficient simulations. First, we benchmark an algorithm that variationally minimizes the energy within the manifold of isometric tensors by comparing to exact results. Second, we consider real time evolution and focus on dynamical correlations in a quantum spin system.