Introduction to PEPS

Román Orús, MPI for Quantum Optics.

In this lecture I will give a brief introduction to PEPS. Focusing on the 2d case, I will first motivate their definition and explain some of their basic theoretical properties, as well as provide some examples. Then, I will introduce some of the related numerical methods. In particular, I will comment on algorithms with finite and infinite PEPS for finding ground states and computing time evolution. I will also explain different ways of computing expectation values in the thermodynamic limit, either using boundary Matrix Product States or Corner Transfer Matrices. If time allows I will also mention other advanced topics, such as the relation between PEPS and Entanglement Spectrum, and the extension of the methods to study fermionic systems.

Video Links: Part I, Part II, Part III

Part I

Part II

Part III

Ying-Jer Kao,
Dec 7, 2012, 10:58 PM