Abstract
In this Letter, we introduce a natural dynamical analogue of crystalline order, which we call choreographic order. In an ordinary (static) crystal, a high degree of symmetry may be achieved through a careful arrangement of the fundamental repeated elements. In the dynamical analogue, a high degree of symmetry may be achieved by having the fundamental elements perform a carefully choreographed dance. For starters, we show how to construct and classify all symmetric satellite constellations. Then we explain how to generalize these ideas to construct and classify choreographic crystals more broadly. We introduce a quantity, called the “choreography” of a given configuration. We discuss the possibility that some (naturally occurring or artificial) many-body or condensed-matter systems may exhibit choreographic order, and suggest natural experimental signatures that could be used to identify and characterize such systems.
- Received 25 February 2015
DOI:https://doi.org/10.1103/PhysRevLett.116.015503
© 2016 American Physical Society
Physics Subject Headings (PhySH)
Focus
New Crystal Type is Always in Motion
Published 8 January 2016
Theorists define a new kind of crystal, where the symmetry is not based on the static locations of objects but instead on the relationship between their periodic motions, as in a group of satellites.
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