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.

Engineering a U(1) lattice gauge theory in classical electric circuits / Riechert, Hannes; Halimeh, Jad C.; Kasper, Valentin; Bretheau, Landry; Zohar, Erez; Hauke, Philipp; Jendrzejewski, Fred. - ELETTRONICO. - (2021), pp. 1-13.

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

Hauke, Philipp;
2021-01-01

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.
2021
online
https://arxiv.org/
Engineering a U(1) lattice gauge theory in classical electric circuits / Riechert, Hannes; Halimeh, Jad C.; Kasper, Valentin; Bretheau, Landry; Zohar, Erez; Hauke, Philipp; Jendrzejewski, Fred. - ELETTRONICO. - (2021), pp. 1-13.
Riechert, Hannes; Halimeh, Jad C.; Kasper, Valentin; Bretheau, Landry; Zohar, Erez; Hauke, Philipp; Jendrzejewski, Fred
File in questo prodotto:
File Dimensione Formato  
2108.01086.pdf

accesso aperto

Tipologia: Pre-print non referato (Non-refereed preprint)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 3.28 MB
Formato Adobe PDF
3.28 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/314617
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact