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Tensor-network toolbox for probing dynamics of non-Abelian gauge theories

2025/01/30 by Emil Mathew, Mathew, Emil, Navya Gupta +10 · 3 citations
Computer Science · #Computational Physics and Python Applications #Distributed and Parallel Computing Systems #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Time Series Analysis and Forecasting

paper · pdf · doi:10.48550/arxiv.2501.18301

openalex publication_date 2025/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

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.

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