Defining time crystals via representation theory
Research output: Contribution to journal › Article › peer-review
Colleges, School and Institutes
- HARVARD UNIVERSITY
- PRINCETON UNIVERSITY
Time crystals are proposed states of matter which spontaneously break time translation symmetry. There is no settled definition of such states. We offer a new definition which follows the traditional recipe for Wigner symmetries and order parameters. Supplementing our definition with a few plausible assumptions we find that a) systems with time-independent Hamiltonians should not exhibit time translation symmetry breaking while b) the recently studied π spin glass/Floquet time crystal can be viewed as breaking a global internal symmetry and as breaking time translation symmetry, as befits its two names.
|Journal||Physical Review B|
|Publication status||Published - 18 Sep 2017|