Classical Time Crystals
Name
Shapere-2012-Classical Time Crystals.pdf
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131.1 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Shapere, Alfred
Wilczek, Frank
Date Issued
October 2012
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Shapere, Alfred, and Frank Wilczek. “Classical Time Crystals.” Physical Review Letters 109.16 (2012). © 2012 American Physical Society
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
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.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.109.160402
