Gauge protection in non-abelian lattice gauge theories

• Verfasst von: Halimeh, Jad C. [VerfasserIn]
• Verfasst von: Lang, Haifeng [VerfasserIn]
• Verfasst von: Hauke, Philipp [VerfasserIn]
• Titel: Gauge protection in non-abelian lattice gauge theories
• Verf.angabe: Jad C. Halimeh, Haifeng Lang, Philipp Hauke
• E-Jahr: 2022
• Jahr: 11 March 2022
• Umfang: 14 S.
• Fussnoten: Gesehen am 01.04.2022
• Titel Quelle: Enthalten in: New journal of physics
• Ort Quelle: [Bad Honnef] : Dt. Physikalische Ges., 1999
• Jahr Quelle: 2022
• Band/Heft Quelle: 24(2022), 3, Artikel-ID 033015, Seite 1-14
• ISSN Quelle: 1367-2630
• DOI: doi:10.1088/1367-2630/ac5564
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1797327321

Abstract

Protection of gauge invariance in experimental realizations of lattice gauge theories based on energy-penalty schemes has recently stimulated impressive efforts both theoretically and in setups of quantum synthetic matter. A major challenge is the reliability of such schemes in non-abelian gauge theories where local conservation laws do not commute. Here, we show through exact diagonalization (ED) that non-abelian gauge invariance can be reliably controlled using gauge-protection terms that energetically stabilize the target gauge sector in Hilbert space, suppressing gauge violations due to unitary gauge-breaking errors. We present analytic arguments that predict a volume-independent protection strength V, which when sufficiently large leads to the emergence of an adjusted gauge theory with the same local gauge symmetry up to least a timescale . Thereafter, a renormalized gauge theory dominates up to a timescale ∝exp(V/V 0)/V 0 with V 0 a volume-independent energy factor, similar to the case of faulty abelian gauge theories. Moreover, we show for certain experimentally relevant errors that single-body protection terms robustly suppress gauge violations up to all accessible evolution times in ED, and demonstrate that the adjusted gauge theory emerges in this case as well. These single-body protection terms can be readily implemented with fewer engineering requirements than the ideal gauge theory itself in current ultracold-atom setups and noisy intermediate-scale quantum (NISQ) devices.