Condensed matter physics in time crystals

@article{Guo2020CondensedMP,
  title={Condensed matter physics in time crystals},
  author={Lingzhen Guo and Pengfei Liang},
  journal={New Journal of Physics},
  year={2020},
  volume={22}
}
Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time-translation symmetry in static systems is proved impossible for the equilibrium state, the discrete time-translation symmetry in periodically driven (Floquet) systems is allowed to be spontaneously broken, resulting in the so-called Floquet or discrete time crystals. While most works so far searching for time crystals focus on the symmetry breaking… 
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References

SHOWING 1-10 OF 153 REFERENCES

Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models.

These time crystals arise only from the Floquet dynamical symmetry and thus appear in both dissipative and isolated systems and in the presence of disorder as long as the FDS is respected, and their experimental realizations in cold atom experiments are discussed.

Relaxation dynamics and dissipative phase transition in quantum oscillators with period tripling

Period tripling in driven quantum oscillators reveals unique features absent for linear and parametric drive, but generic for all higher-order resonances. Here, we focus at zero temperature on the…

A Brief History of Time Crystals.

The idea of breaking time-translation symmetry has fascinated humanity at least since ancient proposals of the perpetuum mobile. Unlike the breaking of other symmetries, such as spatial translation…

Higher-order and fractional discrete time crystals in clean long-range interacting systems

It is shown that a clean spin-1/2 system in the presence of long-range interactions and transverse field can sustain a huge variety of different ‘higher-order’ discrete time crystals with integer and, surprisingly, even fractional n > 2.

Prethermalization without Temperature

While a clean driven system generically absorbs energy until it reaches `infinite temperature', it may do so very slowly exhibiting what is known as a prethermal regime. Here, we show that the…

Parametric effects in circuit quantum electrodynamics

We review recent advances in the research on quantum parametric phenomena in superconducting circuits with Josephson junctions. We discuss physical processes in parametrically driven tunable cavity…

Quantum Time Crystals from Hamiltonians with Long-Range Interactions.

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.

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.

Nonlocal random walk over Floquet states of a dissipative nonlinear oscillator.

The analysis of period tripling allows us to explore generic features of the dynamics of resonantly driven systems related to the multiplicity of the states, including those missing in the previously explored models of driven oscillators.

Discrete Time Crystals

Experimental advances have allowed for the exploration of nearly isolated quantum many-body systems whose coupling to an external bath is very weak. A particularly interesting class of such systems…
...