# Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models.

@article{Chinzei2020TimeCP, title={Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models.}, author={Koki Chinzei and Tatsuhiko N. Ikeda}, journal={Physical review letters}, year={2020}, volume={125 6}, pages={ 060601 } }

We investigate an unconventional symmetry in time-periodically driven systems, the Floquet dynamical symmetry (FDS). Unlike the usual symmetries, the FDS gives symmetry sectors that are equidistant in the Floquet spectrum and protects quantum coherence between them from dissipation and dephasing, leading to two kinds of time crystals: the discrete time crystal and discrete time quasicrystal that have different periodicity in time. We show that these time crystals appear in the Bose- and Fermi…

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## References

SHOWING 1-10 OF 98 REFERENCES

### and a at

- ChemistryThe William Makepeace Thackeray Library
- 2018

The xishacorene natural products are structurally unique apolar diterpenoids that feature a bicyclo[3.3.1] framework. These secondary metabolites likely arise from the well-studied, structurally…

### General description for nonequilibrium steady states in periodically driven dissipative quantum systems

- PhysicsScience Advances
- 2020

A generic solution for nonequilibrium steady states in periodically driven (Floquet) quantum systems by focusing on systems under high-frequency drive and time-independent Lindblad-type dissipation is derived.

### Rigorous bounds on dynamical response functions and time-translation symmetry breaking

- PhysicsSciPost Physics
- 2020

Dynamical response functions are standard tools for probing local physics near the equilibrium. They provide information about relaxation properties after the equilibrium state is weakly perturbed.…

### Symmetries and conservation laws in quantum trajectories: Dissipative freezing

- PhysicsPhysical Review A
- 2019

In driven-dissipative systems, the presence of a strong symmetry guarantees the existence of several steady states belonging to different symmetry sectors. Here we show that when a system with a…

### Time crystallinity in open quantum systems

- PhysicsQuantum
- 2020

A way to identify an open system time crystal based on a single object: the Floquet propagator is proposed and time-crystalline behavior in an explicitly short-range interacting open system is shown and the crucial role of the nature of the decay processes is demonstrated.

### Floquet time spirals and stable discrete-time quasicrystals in quasiperiodically driven quantum many-body systems

- PhysicsPhysical Review B
- 2019

We analyse quasi-periodically driven quantum systems that can be mapped exactly to periodically driven ones and find Floquet Time Spirals in analogy with spatially incommensurate spiral magnetic…

### Quantum synchronisation enabled by dynamical symmetries and dissipation

- PhysicsNew Journal of Physics
- 2020

In nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter…

### Quantum Time Crystals from Hamiltonians with Long-Range Interactions.

- PhysicsPhysical review letters
- 2019

This study proposes a form of a Hamiltonian for which the unitary dynamics exhibits the time crystalline behavior and breaks continuous TTS, based on a spin-1/2 many-body Hamiltonian which has long-range multispin interactions in the form of spin strings, thus bypassing previously known no-go theorems.

### Period-n Discrete Time Crystals and Quasicrystals with Ultracold Bosons.

- PhysicsPhysical review letters
- 2019

A Floquet driving that induces clockwise circulation of the particles among the odd sites of the ring which can be mapped to a fully connected model of clocks of two counterrotating species and can be realized with state-of-the-art ultracold atoms experiments.