Compression theory for inhomogeneous systems
Abstract The physics of complex systems stands to greatly benefit from the qualitative changes in data availability and advances in data-driven computational methods. Many of these systems can be represented by interacting degrees of freedom on inhomogeneous graphs. However, the lack of translationa...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-11-01
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| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-024-54341-8 |
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| _version_ | 1846147557089083392 |
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| author | Doruk Efe Gökmen Sounak Biswas Sebastian D. Huber Zohar Ringel Felix Flicker Maciej Koch-Janusz |
| author_facet | Doruk Efe Gökmen Sounak Biswas Sebastian D. Huber Zohar Ringel Felix Flicker Maciej Koch-Janusz |
| author_sort | Doruk Efe Gökmen |
| collection | DOAJ |
| description | Abstract The physics of complex systems stands to greatly benefit from the qualitative changes in data availability and advances in data-driven computational methods. Many of these systems can be represented by interacting degrees of freedom on inhomogeneous graphs. However, the lack of translational invariance presents a fundamental challenge to theoretical tools, such as the renormalization group, which were so successful in characterizing the universal physical behaviour in critical phenomena. Here we show that compression theory allows the extraction of relevant degrees of freedom in arbitrary geometries, and the development of efficient numerical tools to build an effective theory from data. We demonstrate our method by applying it to a strongly correlated system on an Ammann-Beenker quasicrystal, where it discovers an exotic critical point with broken conformal symmetry. We also apply it to an antiferromagnetic system on non-bipartite random graphs, where any periodicity is absent. |
| format | Article |
| id | doaj-art-0827e7b3a4ee4d5e8f9dd91f0acc0136 |
| institution | Kabale University |
| issn | 2041-1723 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj-art-0827e7b3a4ee4d5e8f9dd91f0acc01362024-12-01T12:34:23ZengNature PortfolioNature Communications2041-17232024-11-011511810.1038/s41467-024-54341-8Compression theory for inhomogeneous systemsDoruk Efe Gökmen0Sounak Biswas1Sebastian D. Huber2Zohar Ringel3Felix Flicker4Maciej Koch-Janusz5Institute for Theoretical Physics, ETH ZurichInstitut für Theoretische Physik und Astrophysik, Universität WürzburgInstitute for Theoretical Physics, ETH ZurichRacah Institute of Physics, Hebrew UniversitySchool of Physics, Tyndall AvenueJames Franck Institute, The University of ChicagoAbstract The physics of complex systems stands to greatly benefit from the qualitative changes in data availability and advances in data-driven computational methods. Many of these systems can be represented by interacting degrees of freedom on inhomogeneous graphs. However, the lack of translational invariance presents a fundamental challenge to theoretical tools, such as the renormalization group, which were so successful in characterizing the universal physical behaviour in critical phenomena. Here we show that compression theory allows the extraction of relevant degrees of freedom in arbitrary geometries, and the development of efficient numerical tools to build an effective theory from data. We demonstrate our method by applying it to a strongly correlated system on an Ammann-Beenker quasicrystal, where it discovers an exotic critical point with broken conformal symmetry. We also apply it to an antiferromagnetic system on non-bipartite random graphs, where any periodicity is absent.https://doi.org/10.1038/s41467-024-54341-8 |
| spellingShingle | Doruk Efe Gökmen Sounak Biswas Sebastian D. Huber Zohar Ringel Felix Flicker Maciej Koch-Janusz Compression theory for inhomogeneous systems Nature Communications |
| title | Compression theory for inhomogeneous systems |
| title_full | Compression theory for inhomogeneous systems |
| title_fullStr | Compression theory for inhomogeneous systems |
| title_full_unstemmed | Compression theory for inhomogeneous systems |
| title_short | Compression theory for inhomogeneous systems |
| title_sort | compression theory for inhomogeneous systems |
| url | https://doi.org/10.1038/s41467-024-54341-8 |
| work_keys_str_mv | AT dorukefegokmen compressiontheoryforinhomogeneoussystems AT sounakbiswas compressiontheoryforinhomogeneoussystems AT sebastiandhuber compressiontheoryforinhomogeneoussystems AT zoharringel compressiontheoryforinhomogeneoussystems AT felixflicker compressiontheoryforinhomogeneoussystems AT maciejkochjanusz compressiontheoryforinhomogeneoussystems |