2020
DOI: 10.1103/physrevlett.125.030503
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Reliability of Lattice Gauge Theories

Abstract: Currently, there are intense experimental efforts to realize lattice gauge theories in quantum simulators. Except for specific models, however, practical quantum simulators can never be fine-tuned to perfect local gauge invariance. There is thus a strong need for a rigorous understanding of gauge-invariance violation and how to reliably protect against it. As we show through analytic and numerical evidence, in the presence of a gauge invariance-breaking term the gauge violation accumulates only perturbatively … Show more

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Cited by 78 publications
(90 citation statements)
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“…Recent work highlighted the also unusual quantum dynamics exhibited by quantum constrained models either in theory [70][71][72][73][74] or in experiments [64] as well as for related lattice gauge theories [75][76][77][78][79][80][81][82]. On one hand, we would, thus, expect that constrained models are good natural candidates to exhibit localization due to their enhanced slow dynamics.…”
Section: B Searching For Mbl In 2d Constrained Modelsmentioning
confidence: 99%
“…Recent work highlighted the also unusual quantum dynamics exhibited by quantum constrained models either in theory [70][71][72][73][74] or in experiments [64] as well as for related lattice gauge theories [75][76][77][78][79][80][81][82]. On one hand, we would, thus, expect that constrained models are good natural candidates to exhibit localization due to their enhanced slow dynamics.…”
Section: B Searching For Mbl In 2d Constrained Modelsmentioning
confidence: 99%
“…Having passed this milestone, new experimental challenges are now being addressed. In particular, there is a continuing community effort in the following directions: (i) lattice gauge theories in higher dimensions [ 16 , 86 ], (ii) non-Abelian symmetries [ 20 , 21 , 87 ], (iii) lattice gauge theories with bosonic matter (see §2) and (iv) the effects of violating the local symmetries [ 88 , 89 ].…”
Section: Experimental and Experimentally Friendly Quantum Simulatorsmentioning
confidence: 99%
“…We discover four distinct phases and investigate the nature of the quantum phase transitions separating them. Such quantum phase diagrams can be probed in future quantum simulators, where violation of the strict Gauss law in 2 gauge theories [54][55][56][57][58] can be controlled at will using Floquet engineering [59][60][61]. Furthermore, using gentle gauging we show that in the absence of vortices the fermionic SPT order of the Higgs phase is in the universality class of a stacked pair of Kitaev chains.…”
Section: Introductionmentioning
confidence: 96%