离散时间晶体：刚性，临界性和实现
Discrete time crystals: rigidity, criticality, and realizations
摘要：
尽管在平衡态中被禁止，但时间平移对称性的自发破缺可以发生在具有离散时间平移对称性的周期驱动Floquet系统中。所得到的离散时间晶体的周期被量化为驱动周期的整数倍，这是由集体同步和多体局域化的组合引起的。在这里，我们考虑一个简单的一维离散时间晶体模型，明确揭示了刚性的新兴振荡的驱动器是不同的。我们用数值方法绘制了它的相图，并计算了时间晶体熔化成平凡Floquet绝缘体的动态相变的性质。此外，我们证明了该模型可以实现与目前的实验技术，并提出了一个蓝图的基础上的一维链的囚禁离子。使用实验参数（具有长程相互作用），我们确定的离子时间晶体的相边界，并提出了一个可测量的签名的对称性破缺相变。
英文摘要：
Despite being forbidden in equilibrium, spontaneous breaking of time translation symmetry can occur in periodically driven, Floquet systems with discrete time-translation symmetry. The period of the resulting discrete time crystal is quantized to an integer multiple of the drive period, arising from a combination of collective synchronization and many body localization. Here, we consider a simple model for a one dimensional discrete time crystal which explicitly reveals the rigidity of the emergent oscillations as the drive is varied. We numerically map out its phase diagram and compute the properties of the dynamical phase transition where the time crystal melts into a trivial Floquet insulator. Moreover, we demonstrate that the model can be realized with current experimental technologies and propose a blueprint based upon a one dimensional chain of trapped ions. Using experimental parameters (featuring long-range interactions), we identify the phase boundaries of the ion-time-crystal and propose a measurable signature of the symmetry breaking phase transition.
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