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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster: Quantum Dynamics and Many-Body Systems

DY 43.12: Poster

Thursday, March 30, 2023, 13:00–16:00, P1

Quantum many-body dynamics in two dimensions using tree tensor networks — •Wladislaw Krinitsin¹, Niklas Tausendpfund^1,2, Matteo Rizzi^1,2, and Markus Schmitt¹ — ¹Forschungszentrum, Jülich, Deutschland — ²Institut der Theoretischen Physik, Köln, Deutschland

Many body systems out of equilibrium are notoriously difficult to solve due to the rapid growth of entanglement with time. In particular the rapidly expanding possibilities to address 2-dimensional systems in quantum simulation turn a spotlight on the lack of reliable numerical methods in this regime. We explore an approach to solve the time dependence of 2-dimensional systems by applying the time-dependent variational principle (TDVP) to Tree Tensor Networks (TTNs). More specifically, this method is used to study non-ergodic dynamics in the quantum Ising model.