Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 40: Dual-Method Approaches to Quantum Many-Body Systems II
TT 40.3: Vortrag
Dienstag, 13. März 2018, 10:30–10:45, H 3010
Non-Abelian Symmetries in Tensor Network Algorithms — •Philipp Schmoll1,2 and Román Orús1 — 1Institute of Physics, Johannes Gutenberg University, 55099 Mainz, Germany — 2Graduate School Materials Science in Mainz, Staudingerweg 9, 55128 Mainz, Germany
In recent years Tensor Networks (TNs) have emerged as a natural language to describe quantum states of matter by capturing the amount and local structure of entanglement in the system. They provide an efficient framework to study quantum many-body properties with many remarkable applications such as the Density Matrix Renormalization Group (DMRG) for 1d systems proposed by S. White. The Projected Entangled Pair State (PEPS) ansatz has proven to be a versatile tool for 2d systems with topological order, both chiral and non-chiral. However, at the current stage simulations in 2d are strongly limited due to the complexity of the systems. In this respect, a big step needs to be taken to have a versatile implementation of non-abelian symmetries (such as SU(2) or SU(3)) in 2d PEPS algorithms, which will allow to advance significantly in the study of many relevant systems (e.g., frustrated antiferromagnets, chiral topological spin liquids, ...). In this talk I will report on recent advances in this direction at our group in Mainz.