Quantum Simulations of Complex Many-Body Systems:
From Theory to Algorithms

Scope of the Winter School

This Winter School will cover modern quantum simulation techniques and their implementation on high-performance computers, in particular on parallel systems. The focus is on numerical methods which are tailored to treat large quantum systems with many coupled degrees of freedom ranging from superfluid Helium to chemical reactions. Among others, the following topics will be covered:

	Diffusion and Green's function Monte Carlo
	Path integral Monte Carlo and molecular dynamics
	Car-Parrinello / ab initio molecular dynamics
	Real-time quantum dynamics for large systems
	Lattice and continuum algorithms
	Exchange statistics for Bosons and Fermions / sign problem
	Parallel numerical techniques and tools
	Numerical integration and random numbers

This strongly interdisciplinary School aims at bridging three "gaps" in the vast field of large-scale quantum simulations. The first gap between chemistry and physics, the second one between typical graduate courses in these fields and state-of-the-art research, and finally the one between the Monte Carlo and molecular dynamics communities.

The participants - being mostly graduate students, postdocs as well as young researchers in the area of theoretical / computational physics and chemistry - are expected to have basic knowledge of quantum, classical, and statistical mechanics. They will benefit from this School by learning about recent methodological advances within and outside their field of specialization. In addition, they will get insights into recent software development and implementation issues involved, in particular in the context of high-performance computing.