English

Gaussian states for the variational study of (1+1)-dimensional lattice gauge models

High Energy Physics - Lattice 2022-09-21 v1 Strongly Correlated Electrons Quantum Physics

Abstract

We introduce a variational ansatz based on Gaussian states for (1+1)-dimensional lattice gauge models. To this end we identify a set of unitary transformations which decouple the gauge degrees of freedom from the matter fields. Using our ansatz, we study static aspects as well as real-time dynamics of string breaking in two (1+1)-dimensional theories, namely QED and two-color QCD. We show that our ansatz captures the relevant features and is in excellent agreement with data from numerical calculations with tensor networks.

Keywords

Cite

@article{arxiv.1811.04899,
  title  = {Gaussian states for the variational study of (1+1)-dimensional lattice gauge models},
  author = {P. Sala and T. Shi and S. Kühn and M. C. Bañuls and E. Demler and J. I. Cirac},
  journal= {arXiv preprint arXiv:1811.04899},
  year   = {2022}
}

Comments

7 pages, 2 figures, proceedings of the 36th Annual International Symposium on Lattice Field Theory, 22-28 July, 2018 Michigan State University, East Lansing, Michigan, USA