The discrete time crystal (DTC) is a non-equilibrium phase of matter that spontaneously breaks time-translation symmetry. Disorder-induced many-body-localization can stabilize the DTC phase by breaking ergodicity and preventing thermalization. Here, we observe the hallmark signatures of the many-body-localized DTC using a novel quantum simulation platform based on individually controllable ¹³C nuclear spins in diamond. We demonstrate long-lived period-doubled oscillations and confirm that they are robust for generic initial states, thus showing the characteristic time-crystalline order across the many-body spectrum. Our results are consistent with the realization of an out-of-equilibrium Floquet phase of matter and introduce a programmable quantum simulator based on solid-state spins for exploring many-body physics.

中文翻译：

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具有可编程自旋量子模拟器的多体局部离散时间晶体

离散时间晶体 (DTC) 是物质的非平衡相，它自发地破坏时间平移对称性。无序诱导的多体定位可以通过打破遍历性和防止热化来稳定 DTC 阶段。在这里，我们使用基于单独可控^{13的新型量子模拟平台观察多体局部 DTC 的标志性特征。}金刚石中的 C 核自旋。我们展示了长寿命的倍周期振荡，并确认它们对于一般初始状态是稳健的，从而显示了跨多体光谱的特征时间晶体顺序。我们的结果与物质的非平衡 Floquet 相的实现一致，并引入了一种基于固态自旋的可编程量子模拟器，用于探索多体物理。