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September 2018 “Discrete time crystal in globally driven interacting quantum systems without disorder” (March 2019, published!)

Fig.1 (a) Schematic diagram showing the dynamics of the individual spins in our model for a small perturbation  in the spin flip. The presence of interaction helps to synchronize the spins.

Authors

W. C. Yu, J. Tangpanitanon, A. W. Glaetzle, D. Jaksch, D. G. Angelakis

Abstract

Time crystals in periodically driven systems have initially been studied assuming either the ability to quench the Hamiltonian between different many-body regimes, the presence of disorder or long-range interactions. Here we propose a scheme to observe discrete time crystal dynamics in a one-dimensional driven quantum system of the Ising type with short-range interactions and no disorder. The system is subject only to a periodic kick by a global magnetic field, and no extra Hamiltonian quenching is performed.

Phys. Rev. A. 99, 033618 (2019) [PDF] 

Fig.1 (a) Schematic diagram showing the dynamics of the individual spins in our model for a small perturbation  in the spin flip. The presence of interaction helps to synchronize the spins.

Fig. 2(a) Color map of the Fourier spectrum of the stroboscopic magnetization in x direction with perturbation \epsilon as the driving parameter.