Spatio-Temporal Symmetry - Point Groups with Time Translations

@article{Padmanabhan2017SpatioTemporalS,
  title={Spatio-Temporal Symmetry - Point Groups with Time Translations},
  author={Haricharan Padmanabhan and M. Kingsland and J. Munro and D. B. Litvin and V. Gopalan},
  journal={Symmetry},
  year={2017},
  volume={9},
  pages={187}
}
Spatial symmetries occur in combination with temporal symmetries in a wide range of physical systems in nature, including time-periodic quantum systems typically described by the Floquet formalism. In this context, groups formed by three-dimensional point group symmetry operations in combination with time translation operations are discussed in this work. The derivation of these ’spatio-temporal’ groups from conventional point groups and their irreducible representations is outlined, followed… Expand
4 Citations
Spatio-temporal symmetry - crystallographic point groups with time translations and time inversion.
Antisymmetry: Fundamentals and Applications
Discovering minimum energy pathways via distortion symmetry groups
Implementation of distortion symmetry for the nudged elastic band method with DiSPy

References

SHOWING 1-10 OF 34 REFERENCES
Dynamical symmetries of time-periodic Hamiltonians
Crystallographic groups in space and time
Observation of a discrete time crystal
Floquet topological phases protected by time glide symmetry
The antisymmetry of distortions
Absence of Quantum Time Crystals.
Dynamical symmetries and harmonic generation
Classical time crystals.
...
1
2
3
4
...