Entanglement and Locality in Quantum Many-Body Systems

 

Lecture details

The lecture will be given by Professor Schuch.

The following detailed description along with organizational issues can be found on the corresponding website

Description:

Interacting quantum many-body systems appear in all areas of physics, from condensed matter systems to high-energy physics. A characteristic feature of these systems is the local nature of their interactions.

In the first part of this lecture, I will discuss the consequences of this locality, especially in the context of condensed matter systems. Most importantly, locality implies a finite propagation speed of excitations (the so-called Lieb-Robinson bounds), which have a number of remarkable consequences regarding the behavior of correlations, the stability of topological topological order, the classification of quantum phases, and the nature of the entanglement structure of these systems.

The second part of the lecture will focus on the consequences of the specific entanglement structure of many-body systems. This covers in particular their description in terms of Tensor Network States, such as Matrix Product States and Projected Entangled Pair States, and the resulting class of simulation methods, most importantly the Density Matrix Renormalization Group (DMRG) algorithm.

For the time schedule, you can also refer to the university calendar:

Time Room Start
Fri. 2.30pm - 4pm 4263 (26 C 401) 17.10.2014 (15 dates)