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TT: Fachverband Tiefe Temperaturen
TT 71: Many-Body Quantum Dynamics I (joint session DY/TT)
TT 71.3: Talk
Thursday, March 21, 2024, 10:00–10:15, A 151
Domain wall dynamics of a two dimensional quantum Ising model using tree tensor networks — •Wladislaw Krinitsin1, Niklas Tausendpfund1,2, Matteo Rizzi1,2, and Markus Schmitt1,3 — 1Forschungszentrum, Jülich, Deutschland — 2Institut für Theoretische Physik, Köln, Deutschland — 3Fakultät für Informatik und Data Science, Regensburg, Deutschland
Many body systems out of equilibrium are notoriously difficult to solve due to the rapid growth of entanglement with time. In particular the expanding possibilities to address two-dimensional systems in quantum simulations turn a spotlight on the lack of reliable numerical methods in this regime. We explore an approach to solve the time evolution of two-dimensional quantum systems by applying the time-dependent variational principle to Tree Tensor Networks. As an application, we consider the relaxation of domain wall initial conditions in a quantum Ising model, where pre-thermal behavior leads to a slow relaxation of domain wall initial conditions.
Keywords: Transverse Field Ising Model; Tensor Networks; Non-Equilibrium Dynamics; Two-Dimensional Quantum System