Projected Entangled Pair States for Gauge Theories

01 January 2018 → 31 December 2021
Research Foundation - Flanders (FWO)
Research disciplines
No data available
Project description

The theory of entanglement has provided a new language to describe interacting quantum many

body systems, opening up new possibilities in determining static and dynamical properties of such

systems. This proposal aims at using the theory of entanglement and more specifically the theory of

tensor networks to simulate gauge theories. The big advantage of this method is the fact that tensor

networks do not suffer from the sign problem, thereby giving access to properties and quantitites

not accessible by quantum Monte Carlo methods. It also provides a new ways of constructing order

parameters for topologically ordered phases and of characterizing elementary excitations. We will

focus on studying gauge theories in 2+1 dimensions, which is a territory as yet almost untouched

upon by tensor network methods, and open up the way of simulating gauge theories in 3+1