Methods for Simulating Open Quantum Systems on Two-Dimensional Lattices with Tensor Networks

This colloquium talk presents Jack Dunham's research on advanced methods for simulating open quantum systems on two-dimensional lattices using tensor networks. Explore how tensor networks effectively tackle the quantum many-body problem by exploiting entanglement structure in lattice systems, allowing for accurate representation of quantum state vectors with exponentially fewer parameters. While traditional tensor network algorithms like DMRG and TDVP are primarily used for one-dimensional closed systems, learn about cutting-edge methods applicable to two-dimensional quantum systems evolving according to the Lindblad equation. Discover new developments that enable the study of models with long-range interactions. This 52-minute presentation from the Warsaw colloquium for theoretical physics at the Center for Theoretical Physics PAS features Dunham's work from the Department of Physics and Astronomy at University College London, UK.