Tensor-network toolbox for probing dynamics of non-Abelian gauge theories
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910832521117696 |
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| author | Mathew, Emil Gupta, Navya Kadam, Saurabh V. Bapat, Aniruddha Stryker, Jesse Davoudi, Zohreh Raychowdhury, Indrakshi |
| author_facet | Mathew, Emil Gupta, Navya Kadam, Saurabh V. Bapat, Aniruddha Stryker, Jesse Davoudi, Zohreh Raychowdhury, Indrakshi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18301 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tensor-network toolbox for probing dynamics of non-Abelian gauge theories Mathew, Emil Gupta, Navya Kadam, Saurabh V. Bapat, Aniruddha Stryker, Jesse Davoudi, Zohreh Raychowdhury, Indrakshi High Energy Physics - Lattice High Energy Physics - Theory Quantum Physics 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. |
| title | Tensor-network toolbox for probing dynamics of non-Abelian gauge theories |
| topic | High Energy Physics - Lattice High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2501.18301 |