http://www.sciencealert.com/physicists-just-created-the-world-s-first-time-crystal
https://www.technologyreview.com/s/602541/physicists-create-worlds-first-time-crystal/
Physicists Create World’s First Time Crystal
https://phys.org/news/2017-02-crystalshow-scientists-state.html
Time crystals—how scientists created a new state of matter
Time Crystals are quantum states which variant as clearly excited states was discovered as "Rutherford Atom in Quantum Theory" https://www.researchgate.net/publication/237287013_Rutherford_atom_in_quantum_theory or when the relevant energies are related to huge rest nuclear electron energy m c^2.
Time Crystals are defined as "alive" ground states in the analogy to the normal space crystals when the translational symmetry is broken to the discrete translational symmetry like for the perfect solid in condensed matter theory and in this sense to superconductor Meissner currents at absolutely low energy. The particle density as a function of time should be therefore periodic at space point and at the ground state. Strictly they are not possible to exist by the following argument: Let E_i be the energy spectrum of the many-body quantum system and E_i are ordered i.e. E_0
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