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Part 1: Document Description
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Citation |
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Title: |
Engineering a U(1) lattice gauge theory in classical electric circuits [Research Data and Code] |
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Identification Number: |
doi:10.11588/data/6MEKHI |
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Distributor: |
heiDATA |
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Date of Distribution: |
2022-02-03 |
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Version: |
1 |
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Bibliographic Citation: |
Riechert, Hannes; Halimeh, Jad C.; Kasper, Valentin; Bretheau, Landry; Zohar, Erez; Hauke, Philipp; Jendrzejewski, Fred, 2022, "Engineering a U(1) lattice gauge theory in classical electric circuits [Research Data and Code]", https://doi.org/10.11588/data/6MEKHI, heiDATA, V1 |
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Citation |
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Title: |
Engineering a U(1) lattice gauge theory in classical electric circuits [Research Data and Code] |
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Identification Number: |
doi:10.11588/data/6MEKHI |
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Authoring Entity: |
Riechert, Hannes (Heidelberg University, Kirchhoff Institute for Physics) |
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Halimeh, Jad C. (University of Trento) |
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Kasper, Valentin (Barcelona Institute of Science and Technology, Harvard University) |
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Bretheau, Landry (Ecole Polytechnique, Institut Polytechnique de Paris) |
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Zohar, Erez (Hebrew University of Jerusalem) |
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Hauke, Philipp (University of Trento) |
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Jendrzejewski, Fred (Heidelberg University, Kirchhoff Institute for Physics) |
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Distributor: |
heiDATA |
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Access Authority: |
Riechert, Hannes |
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Holdings Information: |
https://doi.org/10.11588/data/6MEKHI |
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Study Scope |
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Keywords: |
Physics, Gauge Theory, Lattice Gauge Theory, Classical electric circuits |
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Abstract: |
<b>Abstract:</b> 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.<br> <br> <b>Dataset files:</b> <ul> <li><code>MM-DD</code>: folders with raw data, named by date in 2021.</li> <li><code>U1 Simulations.ipynb</code>: Numerical simulations. Produces files for <code>U1 Figures.ipynb</code> too.</li> <li><code>U1 Figures.ipynb</code>: Data analysis for figures appearing in paper.</li> <li><code>KiCad_U1-block/</code>: Schematic and PCB design.</li> <li><code>redpitaya-measurements/</code>: Measurement scripts used with Red Pitaya.</li> </ul> To simply retrieve the figures of paper, use the <a href=https://arxiv.org/e-print/2108.01086>arXiv:2108.01086 source</a>. |
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Methodology and Processing |
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Sources Statement |
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Data Access |
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Other Study Description Materials |
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Related Publications |
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Citation |
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Title: |
Hannes Riechert, Jad C. Halimeh, Valentin Kasper, Landry Bretheau, Erez Zohar, Philipp Hauke and Fred Jendrzejewski: "Engineering a U(1) lattice gauge theory in classical electric circuits". arXiv:2108.01086 [cond-mat.mes-hall] (2021) |
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Identification Number: |
2108.01086 |
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Bibliographic Citation: |
Hannes Riechert, Jad C. Halimeh, Valentin Kasper, Landry Bretheau, Erez Zohar, Philipp Hauke and Fred Jendrzejewski: "Engineering a U(1) lattice gauge theory in classical electric circuits". arXiv:2108.01086 [cond-mat.mes-hall] (2021) |
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LICENSE |
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text/plain; charset=US-ASCII |
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README.md |
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text/markdown |
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U1 Figures.ipynb |
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application/x-ipynb+json |
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Label: |
U1 Simulations.ipynb |
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application/x-ipynb+json |
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Label: |
CH1-V1_CH2-V1link_CH3-V4_CH4-V5_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V2link_CH3-V3link_CH4-V4link_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-Vsense_CH3-V2_CH4-V3_Vdrv=0.000V.gz |
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application/gzip |
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Label: |
CH1-V1_CH2-V1link_CH3-V4_CH4-V5_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V2link_CH3-V3link_CH4-V4link_Vdrv=0.000V.gz |
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application/gzip |
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Label: |
CH1-V1_CH2-Vsense_CH3-V2_CH4-V3_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V1link_CH3-V4_CH4-V5_Vdrv=0.000V.gz |
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application/gzip |
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Label: |
CH1-V1_CH2-V2link_CH3-V3link_CH4-V4link_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-Vsense_CH3-V2_CH4-V3_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V1link_CH3-V4_CH4-V5_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V2link_CH3-V3link_CH4-V4link_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-Vsense_CH3-V2_CH4-V3_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V1link_CH3-V4_CH4-V5_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V2link_CH3-V3link_CH4-V4link_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-Vsense_CH3-V2_CH4-V3_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V1link_CH3-V4_CH4-V5_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V2link_CH3-V3link_CH4-V4link_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-Vsense_CH3-V2_CH4-V3_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V1link_CH3-V4_CH4-V5_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V2link_CH3-V3link_CH4-V4link_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-Vsense_CH3-V2_CH4-V3_Vdrv=0.000V.gz |
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Notes: |
application/gzip |
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CH1-V1_CH2-V1link_CH3-V4_CH4-V5_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V2link_CH3-V3link_CH4-V4link_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-Vsense_CH3-V2_CH4-V3_Vdrv=0.000V.gz |
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application/gzip |
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Label: |
CH1-V1_CH2-V1link_CH3-V4_CH4-V5_Vdrv=0.000V.gz |
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application/gzip |
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Label: |
CH1-V1_CH2-V2link_CH3-V3link_CH4-V4link_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-Vsense_CH3-V2_CH4-V3_Vdrv=0.000V.gz |
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application/gzip |
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CH1-V1_CH2-V1link_CH3-V4_CH4-V5_Vdrv=0.000V.gz |
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application/gzip |
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Label: |
CH1-V1_CH2-V2link_CH3-V3link_CH4-V4link_Vdrv=0.000V.gz |
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Notes: |
application/gzip |
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CH1-V1_CH2-Vsense_CH3-V2_CH4-V3_Vdrv=0.000V.gz |
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application/gzip |
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Label: |
set2_CH1-site1_CH2-link1_CH3-site2_CH4-link2_CH5-site3_CH6-link3_CH7-site4_CH8-link4_CH9-site5_CH10-empty.gz |
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application/gzip |
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set1a_CH1-site1_CH2-link1_CH3-site2_CH4-link2_CH5-site3_CH6-link3_CH7-site4_CH8-link4_CH9-empty_CH10-site5_Vdrv=0.050V.gz |
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application/gzip |
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Label: |
AD633JNZ.dcm |
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Notes: |
application/dicom |
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Label: |
AD633JNZ.kicad_mod |
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application/octet-stream |
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Label: |
AD633JNZ.lib |
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application/octet-stream |
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fp-info-cache |
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text/plain; charset=US-ASCII |
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fp-lib-table |
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text/plain; charset=US-ASCII |
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project library.bck |
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application/octet-stream |
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project library.dcm |
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application/dicom |
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project library.lib |
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application/octet-stream |
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sym-lib-table |
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text/plain; charset=US-ASCII |
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Label: |
U1-block-cache.lib |
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application/octet-stream |
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U1-block.kicad_pcb |
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application/octet-stream |
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Label: |
U1-block.net |
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application/octet-stream |
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Label: |
U1-block.pro |
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application/octet-stream |
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Label: |
U1-block.sch |
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application/octet-stream |
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Label: |
Banana Mini Jack.kicad_mod |
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Notes: |
application/octet-stream |
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Label: |
README.md |
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Notes: |
text/markdown |
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Label: |
demodulation.c |
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text/x-c |
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Label: |
demodulation.h |
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text/x-c |
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Label: |
live-explorer.c |
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text/x-c |
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Makefile |
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text/plain; charset=US-ASCII |
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oscilloscope_CH1.c |
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text/x-c |
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oscilloscope_gpio.c |
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text/x-c |
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run-chain.sh |
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application/x-sh |
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run.sh |
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Notes: |
application/x-sh |
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Label: |
scan_1channel.c |
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text/x-c |
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Label: |
test_frequency.c |
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Notes: |
text/x-c |
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Label: |
u1_drive1.c |
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text/x-c |
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Label: |
u1_drive2.c |
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text/x-c |
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Label: |
utility.c |
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Notes: |
text/x-c |
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Label: |
utility.h |
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Notes: |
text/x-c |
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Label: |
fftviewer.py |
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Notes: |
text/x-python |
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Label: |
gauss_laws.py |
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Notes: |
text/x-python |
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Label: |
rpchain.py |
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Notes: |
text/x-python |
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measure-network.py |
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Notes: |
text/x-python |
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Label: |
measure-two-point.py |
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Notes: |
text/x-python |