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TT: Fachverband Tiefe Temperaturen

TT 33: Correlated Electrons: Method Development 1

TT 33.11: Vortrag

Mittwoch, 18. März 2020, 12:15–12:30, HSZ 201

Efficient simulation of the Dynamics in Two-Dimensional Quantum Spin Systems with Isometric Tensor Networks — •Sheng-Hsuan Lin and Frank Pollmann — Department of Physics, T42, Technische Universität München, James-Franck-Straße 1, D-85748 Garching, Germany

We introduce a numerical method to efficiently simulate the dynamical spin structure factor of two-dimensional quantum spin systems. The time evolution of truly two-dimensional systems is made possible using recently introduced isometric tensor network states [1]. We benchmark the algorithm by considering two paradigmatic models: First, we compare our results for the transverse field Ising model on square lattice with the prediction of spin wave theory. Second, we consider the Kitaev model on the honeycomb lattice and compare to the exact solution.

[1] arXiv preprint arXiv:1902.05100 (2019)