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

P. Sala (Department of Physics, T42, Technische Universität München, James-Franck-Straße 1, D-85748 Garching, Germany) ; T. Shi (Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190, China) ; S. Kühn (Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5, Canada) ; M. C. Bañuls (Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany) ; E. Demler (Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA) ; et al. - Show all 6 authors

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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      "value": "We introduce a method to investigate the static and dynamic properties of both Abelian and non-Abelian lattice gauge models in <math><mrow><mn>1</mn><mo>+</mo><mn>1</mn></mrow></math> 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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Published on:
27 August 2018
Publisher:
APS
Published in:
Physical Review D , Volume 98 (2018)
Issue 3
DOI:
https://doi.org/10.1103/PhysRevD.98.034505
arXiv:
1805.05190
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: