Computational ManyBody Physics
summer 2012
Mon, Wed 16:0017:30seminar room  Institute for Theoretical Physics
Overview
The lecture will provide an overview of modern numerical approaches to manybody systems, both classical and quantum. The indepth introduction of elementary algorithms will be complemented by application of these methods to fundamental models and phenomena, mostly arising in the context of condensed matter physics.A tentative list of topics includes
 percolation
 phase transitions
 finitesize scaling
 Monte Carlo sampling
 extended ensemble techniques
 molecular dynamics
 HartreeFock and densityfunctional methods
 exact diagonalization
 quantum Monte Carlo (worldline and variational)
 series expansions
 numerical renormalization group
 density matrix renormalization group
Prerequisites
The course is intended for master students; light programming experience preferable.Literature
J.M. Thijssen, Computational Physics, Cambridge University Press (2007)Tao Pang, An Introduction to Computational Physics, Cambridge University Press (2006)
Werner Krauth, Statistical Mechanics: Algorithms and Computation, Oxford University Press (2006)
Exercises

Sheet 1: Percolation on the square lattice

Sheet 2: Monte Carlo simulations for the Ising model

Sheet 3: Extended Ensemble Simulations

Sheet 4: The quantum Nbody problem

Sheet 5: Quantum Phase Transition in the BoseHubbard Model

Sheet 6: DMRG for the particle onachain problem (optional)