Tensor-network toolbox for probing dynamics of non-Abelian gauge theories
Abstract
Tensor-network methods enable probing dynamics of strongly interacting quantum many-body systems, including gauge theories, via Hamiltonian simulation, hence bypassing sign problems. They also have the potential to inform efficient quantum-simulation algorithms of the same theories. We develop and benchmark a matrix-product-state ansatz for the SU(2) lattice gauge theory using the loop-string-hadron formulation. This formulation has been demonstrated to be advantageous in Hamiltonian simulation of non-Abelian gauge theories. It is applicable to both SU(2) and SU(3) gauge groups, to periodic and open boundary conditions, and to 1+1 and higher dimensions. In this work, we report on progress in computing static and dynamical observables in a SU(2) gauge theory in (1+1)D, pushing the boundary of existing studies.
Keywords
Cite
@article{arxiv.2501.18301,
title = {Tensor-network toolbox for probing dynamics of non-Abelian gauge theories},
author = {Emil Mathew and Navya Gupta and Saurabh V. Kadam and Aniruddha Bapat and Jesse Stryker and Zohreh Davoudi and Indrakshi Raychowdhury},
journal= {arXiv preprint arXiv:2501.18301},
year = {2025}
}
Comments
Contribution to Proceedings of the 41st International Symposium on Lattice Field Theory (LATTICE2024). Updated author list. Contents match with the presentation given at LATTICE 2024