Engineering a U(1) lattice gauge theory in classical electric circuits

• Verfasst von: Riechert, Hannes [VerfasserIn]
• Verfasst von: Halimeh, Jad C. [VerfasserIn]
• Verfasst von: Kasper, Valentin [VerfasserIn]
• Verfasst von: Bretheau, Landry [VerfasserIn]
• Verfasst von: Zohar, Erez [VerfasserIn]
• Verfasst von: Hauke, Philipp [VerfasserIn]
• Verfasst von: Jendrzejewski, Fred [VerfasserIn]
• Titel: Engineering a U(1) lattice gauge theory in classical electric circuits
• Verf.angabe: Hannes Riechert, Jad C. Halimeh, Valentin Kasper, Landry Bretheau, Erez Zohar, Philipp Hauke, and Fred Jendrzejewski
• E-Jahr: 2021
• Jahr: 2 Aug 2021
• Umfang: 13 S.
• Fussnoten: Gesehen am 07.02.2022
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2021
• Band/Heft Quelle: (2021), Artikel-ID 2108.01086, Seite 1-13
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Forschungsdaten: Riechert, Hannes: Engineering a U(1) lattice gauge theory in classical electric circuits [research data and code]
• Sach-SW: Condensed Matter - Mesoscale and Nanoscale Physics
• Sach-SW: Condensed Matter - Quantum Gases
• Sach-SW: High Energy Physics - Lattice
• Sach-SW: Quantum Physics
• K10plus-PPN: 1788663799

Abstract

Lattice gauge theories are fundamental to such distinct fields as particle physics, condensed matter, and quantum information science. Their local symmetries enforce the charge conservation observed in the laws of physics. Impressive experimental progress has demonstrated that they can be engineered in table-top experiments using synthetic quantum systems. However, the challenges posed by the scalability of such lattice gauge simulators are pressing, thereby making the exploration of different experimental setups desirable. Here, we realize a U(1) lattice gauge theory with five matter sites and four gauge links in classical electric circuits employing nonlinear elements connecting LC oscillators. This allows for probing previously inaccessible spectral and transport properties in a multi-site system. We directly observe Gauss's law, known from electrodynamics, and the emergence of long-range interactions between massive particles in full agreement with theoretical predictions. Our work paves the way for investigations of increasingly complex gauge theories on table-top classical setups, and demonstrates the precise control of nonlinear effects within metamaterial devices.