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arXiv · 2501.18301

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

Emil Mathew·Navya Gupta·Saurabh V. Kadam·Aniruddha Bapat·Jesse Stryker·Zohreh Davoudi·Indrakshi Raychowdhury
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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.

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Emil Mathew, Navya Gupta, Saurabh V. Kadam, Aniruddha Bapat, Jesse Stryker, Zohreh Davoudi, Indrakshi Raychowdhury. 2025-01-30. Tensor-network toolbox for probing dynamics of non-Abelian gauge theories. https://arxiv.org/abs/2501.18301

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