Motivated by experimental observations of time-symmetry breaking behavior in a periodically driven (Floquet) system, we study a one-dimensional spin model to explore the stability of such Floquet discrete time crystals (DTCs) under the interplay between interaction and the microwave driving. For intermediate interactions and high drivings, from the time evolution of both stroboscopic spin polarization and mutual information between two ends, we show that Floquet DTCs can exist in a prethermal time regime without the tuning of strong disorder. For much weak interactions the system is a symmetry-unbroken phase, while for strong interactions it gives its way to a thermal phase. Through analyzing the entanglement dynamics, we show that large driving fields protect the prethermal DTCs from many-body localization and thermalization. Our results suggest that by increasing the spin interaction, one can drive the experimental system into optimal regime for observing a robust prethermal DTC phase.

中文翻译：

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一维周期性驱动的Floquet系统中的预热时间晶体

通过对周期性驱动（Floquet）系统中的时间对称性破坏行为进行实验观察，我们研究了一维自旋模型，以研究此类Floquet离散时间晶体（DTC）在相互作用和微波驱动之间相互作用下的稳定性。对于中间相互作用和高驱动力，从频闪自旋极化和两端之间的相互信息的时间演变来看，我们表明Floquet DTC可以在预热时间范围内存在，而无需调整强无序性。对于非常弱的相互作用，系统是一个不间断的对称相，而对于强相互作用，则将其转化为热相。通过分析纠缠动力学，我们显示出大的驱动场可以保护预热DTC免受多体局部化和热化的影响。