Tensor network methods, area laws and topological order in condensed matter

Area laws for entanglement entropies providing insights into the "physical corner" that can be well approximated by tensor network states

Area laws for entanglement entropies providing insights into the "physical corner" that can be well approximated by tensor network states

Quantum matter exhibits a remarkable wealth of phenomena, originating from basic local laws of interactions.Tensor network states constitute a powerful machinery of numerically solving such systems, as well as analytically characterizing their properties. Notions of topological order or the classification of phases can be elegantly expressed in terms of such tensor networks. At the heart of the insight why tensor network states approximate ground states of locally interacting models well is the area law for the entanglement entropy, defining what is often referred to as the "physical corner of Hilbert space". We are concerned with various aspects of tensor network states, topological order, and scaling laws for entanglement entropies in quantum matter systems, both in the practical-numerical and mathematical-conceptual reading.


Selected group publications

Group reviews