Classical Time Crystals
We consider the possibility that classical dynamical systems display motion in their lowest-energy state, forming a time analogue of crystalline spatial order. Challenges facing that idea are identified and overcome. We display arbitrary orbits of an angular variable as lowest-energy trajectories fo...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2013
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| Online Access: | http://hdl.handle.net/1721.1/76210 https://orcid.org/0000-0002-6489-6155 |
| _version_ | 1826216907654561792 |
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| author | Shapere, Alfred Wilczek, Frank |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Shapere, Alfred Wilczek, Frank |
| author_sort | Shapere, Alfred |
| collection | MIT |
| description | We consider the possibility that classical dynamical systems display motion in their lowest-energy state, forming a time analogue of crystalline spatial order. Challenges facing that idea are identified and overcome. We display arbitrary orbits of an angular variable as lowest-energy trajectories for nonsingular Lagrangian systems. Dynamics within orbits of broken symmetry provide a natural arena for formation of time crystals. We exhibit models of that kind, including a model with traveling density waves. |
| first_indexed | 2024-09-23T16:55:01Z |
| format | Article |
| id | mit-1721.1/76210 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:55:01Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/762102022-09-29T22:23:21Z Classical Time Crystals Shapere, Alfred Wilczek, Frank Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Wilczek, Frank We consider the possibility that classical dynamical systems display motion in their lowest-energy state, forming a time analogue of crystalline spatial order. Challenges facing that idea are identified and overcome. We display arbitrary orbits of an angular variable as lowest-energy trajectories for nonsingular Lagrangian systems. Dynamics within orbits of broken symmetry provide a natural arena for formation of time crystals. We exhibit models of that kind, including a model with traveling density waves. United States. Dept. of Energy (Grant DE-FG02-05ER41360) 2013-01-08T18:53:45Z 2013-01-08T18:53:45Z 2012-10 2012-04 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/76210 Shapere, Alfred, and Frank Wilczek. “Classical Time Crystals.” Physical Review Letters 109.16 (2012). © 2012 American Physical Society https://orcid.org/0000-0002-6489-6155 en_US http://dx.doi.org/10.1103/PhysRevLett.109.160402 Physical Review Letters 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 American Physical Society APS |
| spellingShingle | Shapere, Alfred Wilczek, Frank Classical Time Crystals |
| title | Classical Time Crystals |
| title_full | Classical Time Crystals |
| title_fullStr | Classical Time Crystals |
| title_full_unstemmed | Classical Time Crystals |
| title_short | Classical Time Crystals |
| title_sort | classical time crystals |
| url | http://hdl.handle.net/1721.1/76210 https://orcid.org/0000-0002-6489-6155 |
| work_keys_str_mv | AT shaperealfred classicaltimecrystals AT wilczekfrank classicaltimecrystals |