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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.
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2015
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A. Ammon, T. Hartung, K. Jansen, H. Leövey, and J. Volmer, “Overcoming the sign problem in one-dimensional QCD by new integration rules with polynomial exactness,” Phys. Rev. D, 94
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2016
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T. Pichler, M. Dalmonte, E. Rico, P. Zoller, and S. Montangero, “Real-Time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks,” Phys. Rev. X, 6
2016
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Erez Zohar, Thorsten B. Wahl, Michele Burrello, and J. Ignacio Cirac, “Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study,” Ann. Phys., 374
2016
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E. A. Martinez, C. A. Muschik, P. Schindler, D. Nigg, A. Erhard, M. Heyl, P. Hauke, M. Dalmonte, T. Monz, P. Zoller, and R. Blatt, “Real-time dynamics of lattice gauge theories with a few-qubit quantum computer,” Nature, 534
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S. Aoki, Y. Aoki, D. Be 𝐜 \mathbf{c} irević, C. Bernard, T. Blum, G. Colangelo, M. Della Morte, P. Dimopoulos, S. Dürr, H. Fukaya, M. Golterman, Steven Gottlieb, S. Hashimoto, U. M. Heller, R. Horsley, A. Jüttner, T. Kaneko, L. Lellouch, H. Leutwyler, C.-J. D. Lin, V. Lubicz, E. Lunghi, R. Mawhinney, T. Onogi, C. Pena, C. T. Sachrajda, S. R. Sharpe, S. Simula, R. Sommer, A. Vladikas, U. Wenger, and H. Wittig, “Review of lattice results concerning low-energy particle physics,” Eur. Phys. J. C, 77
2017
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Kai Zapp and Román Orús, “Tensor network simulation of QED on infinite lattices: Learning from (1+1) d, and prospects for (2+1) d,” Phys. Rev. D, 95
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2017
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Marlon Brenes, Marcello Dalmonte, Markus Heyl, and Antonello Scardicchio, “Many-Body Localization Dynamics from Gauge Invariance,” Phys. Rev. Lett., 120
2018
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Erez Zohar and J. Ignacio Cirac, “Combining tensor networks with Monte Carlo methods for lattice gauge theories,” Phys. Rev. D, 97
2018
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Tao Shi, Eugene Demler, and J. Ignacio Cirac, “Variational study of fermionic and bosonic systems with non-Gaussian states: Theory and applications,” Ann. Phys. 390, 245, 390
2018
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