Tensor-network toolbox for probing dynamics of non-Abelian gauge theories
E. Mathew*, N. Gupta, S. V. Kadam, A. Bapat, J. Stryker, Z. Davoudi and I. Raychowdhury
Pre-published on:
February 15, 2025
Published on:
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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.
DOI: https://doi.org/10.22323/1.466.0472
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