Quantum 2025 – wissenschaftliches Programm

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THU: Thursday Contributed Sessions

THU 9: Correlated Quantum Matter: Contributed Session to Symposium II

THU 9.4: Vortrag

Donnerstag, 11. September 2025, 15:00–15:15, ZHG101

The Impact of Tree Tensor Networks for Open Quantum System Simulations — Richard Maximilian Milbradt¹, •Pouriya Haji Ghadimi², and Christian Mendl^{1, 3} — ¹Technische Universität München, School of Computation, Information and Technology, Munich, Germany — ²University of Bologna, Department of Physics and Astronomy, Bologna, Italy — ³Technische Universität München, Institute of Advanced Studies, Munich, Germany

In recent years tensor network methods have seen increasing use in the classical simulation of quantum systems that interact with an environment. We explore the use of more general tree tensor networks compared to the more common matrix product/tensor train structure for these kinds of simulations. We explore the impact of the tree structure for a direct solution of the Lindblad master equation by time evolving a density matrix represented as a tree structure in the Liouville space. Additionally, we consider tree tensor network representations of pure states in the quantum jump method. We compare this impact for spin chain models, such as the Ising and Heisenberg models, as well as for the Bose-Hubbard model for dozens of sites.

Keywords: tensor network; open quantum system; tree tensor network; dynamics; spin chain model