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28 March 2024
 
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Classical Time Crystals
Alfred Shapere ; Frank Wilczek ;
Date 12 Feb 2012
AbstractWe 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.
Source arXiv, 1202.2537
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