Computational Many Body Methods


Mark Jarrell

Department of Physics and Astronomy

Louisiana State University

Baton Rouge LA 70803

E-mail: jarrellphysics at gmail.com


This page contains links and lecture notes for the international course Simulations of quantum many body systems. Below, you will find lecture notes, supplementary lectures, handouts, and books and notes available on-line.





Lecture Notes



Lecture 1: The Equilibrium Green Function Method

Lecture Notes in pdf


Lecture 2: Dynamical Mean Field and Dynamical Cluster Approximation

Lecture notes in pdf


Lecture 3: Hirsh Fye and Continuous time Quantum Monte Carlo Methods

Lecture notes in pdf



Lecture 4: The Maximum Entropy Method for analytic continuation of QMC data

Lecture notes in pdf



Lecture 5: the non-equilibrium Green function method

Lecture Notes in pdf










Useful References (print):


Useful References (Web):


Acknowledgements: The development of this courseware was supported by the National Science foundation. I would like to thank J. Keller and H.R. Krishnamurthy for sharing their knowledge and course materials.



The first and last lecture were originally presented as a series of lecures on Green function methods for many-body physics presented at the Modeling Molecular and Nano-Electronics summer school August 16-20, 2004 at Oak Ridge National Laboratory. The lectures on Continuous Time Quantum Monte Carlo, the Maximum Entropy Method, and Dynamical Mean Field Theory and the Dynamical Cluster Approximation were delivered at the 2007 Universita degli Studi di Salerno Graduate School Lectures in Condensed Matter Physics.