Physics Commons^™

A Short Introduction To Numerical Linked-Cluster Expansions, Baoming Tang, Ehsan Khatami, Marcos Rigol

Faculty Publications

We provide a pedagogical introduction to numerical linked-cluster expansions (NLCEs). We sketch the algorithm for generic Hamiltonians that only connect nearest-neighbor sites in a finite cluster with open boundary conditions. We then compare results for a specific model, the Heisenberg model, in each order of the NLCE with the ones for the finite cluster calculated directly by means of full exact diagonalization. We discuss how to reduce the computational cost of the NLCE calculations by taking into account symmetries and topologies of the linked clusters. Finally, we generalize the algorithm to the thermodynamic limit, and discuss several numerical resummation techniques …

University Scholar Series: Alejandro Garcia, Alejandro Garcia

University Scholar Series

Collaborating with DreamWorks

On April 25, 2012 Professor Alejandro Garcia spoke in the University Scholar Series hosted by Provost Ellen Junn at the Dr. Martin Luther King, Jr. Library. Professor Alejandro Garcia developed and teaches Physics of Animation, a science course for visual artists. During 2011, he took a professional leave and worked in DreamWorks Animation's department of Artistic Development as a physics consultant on Madagascar 3: Europe's Most Wanted. In this seminar, Alejandro Garcia describes the animation industry from both the scientific and artistic perspectives