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TT: Fachverband Tiefe Temperaturen
TT 2: Focus Session: Recent Developments in Computational Many Body Physics (joint session TT/DY)
TT 2.3: Hauptvortrag
Montag, 12. März 2018, 10:30–11:00, H 0104
Tensor Network Techniques and Dynamical Systems — Nicola Pancotti1, Michael Knapp2, David Huse3, Mari Carmen Banuls1, and •Ignacio Cirac1 — 1Max-Planck Institut für Quantenoptic, Garching, Germany — 2Technical University of Munich, Garching, Germany — 3University of Princeton, Princeton, US
Tensor networks can be used to efficiently describe the equilibrium properties of many-body quantum systems with local interactions. However, they fail to describe their dynamics, at least for long times. In this talk we will present several methods based on tensor networks to extract dynamical properties of one dimensional spin chains. In particular, we will show how one can construct matrix product operators that quasi commute with the system Hamiltonian, and how this is related to the thermalization process.