Boundary Time Crystals.

@article{Iemini2018BoundaryTC,
  title={Boundary Time Crystals.},
  author={Fernando Iemini and Angelo Russomanno and Jonathan Keeling and Marco Schir{\`o} and Marcello Dalmonte and Rosario Fazio},
  journal={Physical review letters},
  year={2018},
  volume={121 3},
  pages={
          035301
        }
}
In this work we introduce boundary time crystals. Here continuous time-translation symmetry breaking occurs only in a macroscopic fraction of a many-body quantum system. After introducing their definition and properties, we analyze in detail a solvable model where an accurate scaling analysis can be performed. The existence of the boundary time crystals is intimately connected to the emergence of a time-periodic steady state in the thermodynamic limit of a many-body open quantum system. We also… 
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References

SHOWING 1-10 OF 57 REFERENCES

Defining time crystals via representation theory

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…

Floquet Time Crystals.

This work defines what it means for time translation symmetry to be spontaneously broken in a quantum system and shows that this occurs in a large class of many-body localized driven systems with discrete time-translation symmetry.

Absence of Quantum Time Crystals.

A no-go theorem is proved that rules out the possibility of time crystals defined as such, in the ground state or in the canonical ensemble of a general Hamiltonian, which consists of not-too-long-range interactions.

Observation of a discrete time crystal

The experimental observation of a discrete time crystal, in an interacting spin chain of trapped atomic ions, is presented, which opens the door to the study of systems with long-range spatio-temporal correlations and novel phases of matter that emerge under intrinsically non-equilibrium conditions.

Discrete Time Crystals: Rigidity, Criticality, and Realizations.

A simple model for a one-dimensional discrete time crystal which explicitly reveals the rigidity of the emergent oscillations as the drive is varied is considered and a blueprint based upon a one dimensional chain of trapped ions is proposed.

Time crystals: a review

The struggle to observe discrete time crystals is reviewed here together with propositions that generalize this concept introducing condensed matter like physics in the time domain.

Discrete Time-Crystalline Order in Cavity and Circuit QED Systems.

A phenomenology of dissipative discrete time crystals is established by generalizing the Landau theory of phase transitions to Floquet open systems and finding clear signatures of a transient discrete time-crystalline behavior, which is absent in the isolated counterpart.

Clean Floquet Time Crystals: Models and Realizations in Cold Atoms.

It is pointed out that time crystals can generally exist in systems without disorder, and a series of clean quasi-one-dimensional models under Floquet driving are proposed to demonstrate this unexpected result in principle.

Phase Structure of Driven Quantum Systems.

It is shown that their disordered Floquet many-body localized counterparts can exhibit distinct ordered phases delineated by sharp transitions, and these are analogs of equilibrium states with broken symmetries and topological order.

Time Crystal Behavior of Excited Eigenstates.

This work simulates the process of the spontaneous symmetry breaking due to measurements of particle positions and analyzes the lifetime of the resulting symmetry broken state.
...