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

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arxiv 2501.18301 v3 pith:NELPF6DH submitted 2025-01-30 hep-lat hep-thquant-ph

Emil Mathew , Navya Gupta , Saurabh V. Kadam , Aniruddha Bapat , Jesse Stryker , Zohreh Davoudi , Indrakshi Raychowdhury This is my paper · ORCID
classification hep-lathep-thquant-ph
keywords gaugetheoriesboundarydynamicsformulationhamiltoniannon-abelianprobing
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions

    hep-th 2025-09 conditional novelty 6.0 of 10

    Exact diagonalization shows 1+1D SU(2) lattice gauge theory with dynamical fermions satisfies ETH, including for non-local string operators that display a memory peak.

  2. Quantum computation of hadron scattering in a lattice gauge theory

    quant-ph 2025-05 conditional novelty 6.0 of 10

    On a trapped-ion quantum computer, the authors prepared multiple meson wave packets and simulated their early-time collisions in a 1+1D Z2 lattice gauge theory.

  3. Dynamics of entanglement entropy for a locally monitored lattice gauge theory

    quant-ph 2026-03 reject novelty 5.0 of 10

    Local projective measurements of electric flux and mass density in a 1+1D Z2 gauge theory yield size-independent late-time entanglement saturation, indicating no measurement-induced phase transition in the no-click limit.

  4. Effects of monitoring on entanglement dynamics for $1+1$D $\mathbb Z_2$ lattice gauge theory

    quant-ph 2026-03 conditional novelty 5.0 of 10

    In the no-click limit, both local and non-local monitoring of a 1+1D Z2 lattice gauge theory produce late-time entanglement saturation values that are independent of system size, giving no evidence of a measurement-in...

  5. Observation of Robust and Coherent Non-Abelian Hadron Dynamics on Noisy Quantum Processors

    hep-lat 2026-02 reject novelty 5.0 of 10

    A 60-site SU(2) lattice gauge theory was run on 120 qubits, but the implemented dynamics approximate to non-interacting fermion hopping, and the abstract's claimed breathing-mode frequency is not extracted anywhere.

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