Classical Time Crystals
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Open Access
- 15 October 2012
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 109 (16), 160402
- https://doi.org/10.1103/physrevlett.109.160402
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.Keywords
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Funding Information
- National Science Foundation
- U.S. Department of Energy
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