Regularizations of time-crystal dynamics
We demonstrate that nonconvex Lagrangians, as contemplated in the theory of time crystals, can arise in the effective description of conventional, physically realizable systems. Such embeddings resolve dynamical singularities which arise in the reduced description. Microstructure featuring intervals...
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| Format: | Article |
| Language: | English |
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Proceedings of the National Academy of Sciences
2020
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| Online Access: | https://hdl.handle.net/1721.1/124382 |
| _version_ | 1826209732148330496 |
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| author | Wilczek, Frank |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Wilczek, Frank |
| author_sort | Wilczek, Frank |
| collection | MIT |
| description | We demonstrate that nonconvex Lagrangians, as contemplated in the theory of time crystals, can arise in the effective description of conventional, physically realizable systems. Such embeddings resolve dynamical singularities which arise in the reduced description. Microstructure featuring intervals of fixed velocity interrupted by quick resets—“Sisyphus dynamics”—is a generic consequence. In quantum mechanics, this microstructure can be blurred, leaving entirely regular behavior. |
| first_indexed | 2024-09-23T14:28:09Z |
| format | Article |
| id | mit-1721.1/124382 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:28:09Z |
| publishDate | 2020 |
| publisher | Proceedings of the National Academy of Sciences |
| record_format | dspace |
| spelling | mit-1721.1/1243822022-10-01T21:29:24Z Regularizations of time-crystal dynamics Wilczek, Frank Massachusetts Institute of Technology. Center for Theoretical Physics Multidisciplinary We demonstrate that nonconvex Lagrangians, as contemplated in the theory of time crystals, can arise in the effective description of conventional, physically realizable systems. Such embeddings resolve dynamical singularities which arise in the reduced description. Microstructure featuring intervals of fixed velocity interrupted by quick resets—“Sisyphus dynamics”—is a generic consequence. In quantum mechanics, this microstructure can be blurred, leaving entirely regular behavior. United States. Department of Energy (Contract No. DE-SC001256) European Research Council (Grant 742104) Swedish Research Council (Contract 335-2014-7424) 2020-03-27T13:57:14Z 2020-03-27T13:57:14Z 2019-08-14 2020-02-13T13:17:18Z Article http://purl.org/eprint/type/JournalArticle 0027-8424 1091-6490 https://hdl.handle.net/1721.1/124382 Shapere, Alfred D. and Frank Wilczek. "Regularizations of time-crystal dynamics." Proceedings of the National Academy of Sciences of the United States of America 116 (2019):18772-18776 © 2019 The Author(s) en 10.1073/pnas.1908758116 Proceedings of the National Academy of Sciences of the United States of America. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Proceedings of the National Academy of Sciences PNAS |
| spellingShingle | Multidisciplinary Wilczek, Frank Regularizations of time-crystal dynamics |
| title | Regularizations of time-crystal dynamics |
| title_full | Regularizations of time-crystal dynamics |
| title_fullStr | Regularizations of time-crystal dynamics |
| title_full_unstemmed | Regularizations of time-crystal dynamics |
| title_short | Regularizations of time-crystal dynamics |
| title_sort | regularizations of time crystal dynamics |
| topic | Multidisciplinary |
| url | https://hdl.handle.net/1721.1/124382 |
| work_keys_str_mv | AT wilczekfrank regularizationsoftimecrystaldynamics |