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Variational study of U(1) and SU(2) lattice gauge theories with Gaussian states in 1+1 dimensions

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arxiv 1805.05190 v2 pith:THZMAEHD submitted 2018-05-14 hep-lat cond-mat.str-elquant-ph

P. Sala , T. Shi , S. Kühn , M. C. Bañuls , E. Demler , J. I. Cirac This is my paper · ORCID
classification hep-latcond-mat.str-elquant-ph
keywords gaugegaussianvariationalansatzdimensionsdynamiclatticemethod
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We introduce a method to investigate the static and dynamic properties of both Abelian and non-Abelian lattice gauge models in 1+1 dimensions. Specifically, we identify a set of transformations that disentangle different degrees of freedom, and apply a simple Gaussian variational ansatz to the resulting Hamiltonian. To demonstrate the suitability of the method, we analyze both static and dynamic aspects of string breaking for the U(1) and SU(2) gauge models. We benchmark our results against tensor network simulations and observe excellent agreement, although the number of variational parameters in the Gaussian ansatz is much smaller.

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Cited by 2 Pith papers

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

  1. A Framework for Quantum Simulations of Energy-Loss and Hadronization in Non-Abelian Gauge Theories: SU(2) Lattice Gauge Theory in 1+1D

    quant-ph 2025-12 conditional novelty 6.0 of 10

    A quantum simulation framework is developed and demonstrated for energy loss and hadronization of a heavy quark in 1+1D SU(2) lattice gauge theory on 18 qubits of IBM hardware, with results matching classical simulations.

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

    hep-lat 2025-01 conditional novelty 5.0 of 10

    A matrix-product-state ansatz in the loop-string-hadron basis is used to compute ground-state energies, static potentials, and string-breaking dynamics of (1+1)D SU(2) lattice gauge theory, reproducing known qualitati...

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