Tensor Networks and their use for Lattice Gauge Theories
Abstract
Tensor Network States are ans\"atze for the efficient description of quantum many-body systems. Their success for one dimensional problems, together with the fact that they do not suffer from the sign problem and can address the simulation of real time evolution, have turned them into one of the most promising techniques to study strongly correlated systems. In the realm of Lattice Gauge Theories they can offer an alternative to standard lattice Monte Carlo calculations, which are suited for static properties and regimes where no sign problem appears. The application of Tensor Networks to this kind of problems is a young but rapidly evolving research field. This paper reviews some of the recent progress in this area, and how, using one dimensional models as testbench, some fundamental milestones have been reached that may pave the way to more ambitious goals.
Keywords
Cite
@article{arxiv.1810.12838,
title = {Tensor Networks and their use for Lattice Gauge Theories},
author = {Mari Carmen Bañuls and Krzysztof Cichy and J. Ignacio Cirac and Karl Jansen and Stefan Kühn},
journal= {arXiv preprint arXiv:1810.12838},
year = {2022}
}
Comments
Contribution to the proceedings of the 36th Annual International Symposium on Lattice Field Theory - LATTICE2018, 22-28 July, 2018 Michigan State University, East Lansing, Michigan, USA. Bibliography updated in second version