Dresden 2017 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 5: Correlated Electrons: (General) Theory 1
TT 5.6: Vortrag
Montag, 20. März 2017, 10:45–11:00, HSZ 304
Benchmarking MPS-based Time Evolution schemes for low-dimensional interacting quantum systems — •Sebastian Paeckel1, Thomas Köhler1, Alexander Tiegel1, Stephan Kramer2,1, and Salvatore Manmana1 — 1Institut für Theoretische Physik, U. Göttingen — 2Fraunhofer ITWM, Kaiserslautern
We compare different approaches to compute out-of-equilibrium dynamics with matrix product state (MPS) methods. Traditionally, either a Suzuki-Trotter-decomposition of the time evolution operator, or a projection onto Krylov-space is used. Here, we take into account recent developments which are based on directly applying local matrix product operators (MPO) in a low-order-expansion to the MPS [1], or which involve a global update scheme projecting the variationally time-evolved MPS into its tangent space [2]. The obtained benchmarks are then compared with respect to their numerical stability and efficiency for spin Hamiltonians on chains and ladder geometries.
We gratefully acknowledge financial support by DFG FOR 1807 (project P7) and CRC 1073 (project B03).
[1] M. Zaletel et al., Phys. Rev. B 91, 165112 (2015)
[2] J. Haegeman et al., Phys. Rev. Lett. 107, 070601 (2011)