Bifurcating entanglement-renormalization group flows of fracton stabilizer models
We investigate the entanglement-renormalization group flows of translation-invariant topological stabilizer models in three dimensions. Fracton models are observed to bifurcate under entanglement renormalization, generically returning at least one copy of the original model. Based on this behavior,...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033021 |
| _version_ | 1797211417741361152 |
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| author | Arpit Dua Pratyush Sarkar Dominic J. Williamson Meng Cheng |
| author_facet | Arpit Dua Pratyush Sarkar Dominic J. Williamson Meng Cheng |
| author_sort | Arpit Dua |
| collection | DOAJ |
| description | We investigate the entanglement-renormalization group flows of translation-invariant topological stabilizer models in three dimensions. Fracton models are observed to bifurcate under entanglement renormalization, generically returning at least one copy of the original model. Based on this behavior, we formulate the notion of bifurcated equivalence for fracton phases, generalizing foliated fracton equivalence. The notion of quotient superselection sectors is also generalized accordingly. We calculate bifurcating entanglement-renormalization group flows for a wide range of examples and, based on those results, propose conjectures regarding the classification of translation-invariant topological stabilizer models in three dimensions. |
| first_indexed | 2024-04-24T10:26:10Z |
| format | Article |
| id | doaj.art-a05040c65afa4956a990c1b53cf56e5e |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:26:10Z |
| publishDate | 2020-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-a05040c65afa4956a990c1b53cf56e5e2024-04-12T16:56:36ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303302110.1103/PhysRevResearch.2.033021Bifurcating entanglement-renormalization group flows of fracton stabilizer modelsArpit DuaPratyush SarkarDominic J. WilliamsonMeng ChengWe investigate the entanglement-renormalization group flows of translation-invariant topological stabilizer models in three dimensions. Fracton models are observed to bifurcate under entanglement renormalization, generically returning at least one copy of the original model. Based on this behavior, we formulate the notion of bifurcated equivalence for fracton phases, generalizing foliated fracton equivalence. The notion of quotient superselection sectors is also generalized accordingly. We calculate bifurcating entanglement-renormalization group flows for a wide range of examples and, based on those results, propose conjectures regarding the classification of translation-invariant topological stabilizer models in three dimensions.http://doi.org/10.1103/PhysRevResearch.2.033021 |
| spellingShingle | Arpit Dua Pratyush Sarkar Dominic J. Williamson Meng Cheng Bifurcating entanglement-renormalization group flows of fracton stabilizer models Physical Review Research |
| title | Bifurcating entanglement-renormalization group flows of fracton stabilizer models |
| title_full | Bifurcating entanglement-renormalization group flows of fracton stabilizer models |
| title_fullStr | Bifurcating entanglement-renormalization group flows of fracton stabilizer models |
| title_full_unstemmed | Bifurcating entanglement-renormalization group flows of fracton stabilizer models |
| title_short | Bifurcating entanglement-renormalization group flows of fracton stabilizer models |
| title_sort | bifurcating entanglement renormalization group flows of fracton stabilizer models |
| url | http://doi.org/10.1103/PhysRevResearch.2.033021 |
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