Disentangling Quantum Many-body Systems: Computational and Conceptual Approaches

Coordinators: Matthew P.A. Fisher, Claire Lhuillier, Simon Trebst, Guifre Vidal

Scientific Advisors: Federico Becca, Didier Poilblanc, Matthias Troyer, Steven R. White

The combination of analytical and numerical approaches has led to remarkable progress in our understanding of the general features of collective states of quantum many-body systems. However, there are a number of important outstanding problems that have for decades resisted solution, most prominently the many fermion problem, but also quantum (spin) systems with frustrating or competing interactions as well as quantum systems out of equilibrium.

On the other hand, recent years have seen a close interplay of novel numerical approaches, concepts from quantum information theory, and various new phenomenological ideas that bear the potential to overcome the challenges posed by these systems.  The goal of this workshop is to identify physical problems that have come into reach and can be solved by such a combination of computational and conceptual methods. In particular, we envision that progress can be made in the areas of non-equilibrium dynamics, fermionic phases, unconventionally ordered phases, gapless quantum liquids and topological order. The physical systems that will be covered include ultracold atoms, strongly correlated fermions, frustrated magnets, quantum solids, two-dimensional electron gases and mesoscopic systems. On the technical side we aim to touch on recent developments in numerical renormalization schemes, tensor network states, (diagrammatic) Monte Carlo methods, and other numerical approaches including exact diagonalization and series expansions.

In association with this program, we intend to hold two focus weeks under the headings "entanglement" and "non-equilibrium dynamics".  More information will be posted when it becomes available.