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Classical Time Crystals | | Alfred Shapere
; Frank Wilczek
; | | Date: |
12 Feb 2012 | | 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. | | Source: | arXiv, 1202.2537 | | Services: | Forum | Review | PDF | Favorites | |
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