预热时间晶体角模式
Prethermal Time-Crystalline Corner Modes
AI总结：
本文证明了预热离散时间晶体的次谐波响应完全局域在零维角模式上，其鲁棒性源于高阶拓扑相或动力学约束，并通过二维自旋模型验证了这两种机制。
摘要：
我们证明了预热离散时间晶体的存在，其次谐波响应完全局域在零维角模式上。在指数级长的预热区域内，我们展示了这些角模式的鲁棒性源于两种相关但截然不同的机制：有效哈密顿量中高阶对称性保护拓扑相的存在，或者阻止角模式衰变的动力学约束的出现。第一种机制确保了在整个预热区域内次谐波响应的稳定性，但它仅限于有效哈密顿量基态流形中的初始态。相比之下，第二种机制允许对任意初始态观察预热时间晶体序，尽管其时间尺度不仅由驱动频率决定，还由系统子格间的相对能量尺度决定。我们通过模拟周期驱动的二维自旋模型的动力学来表征这两种机制，并讨论了我们的模型向所有其他维度的自然扩展。
英文摘要：
We demonstrate the existence of prethermal discrete time crystals whose sub-harmonic response is entirely localized to zero-dimensional corner modes. Within the exponentially long prethermal regime, we show that the robustness of these corner modes arises from two related, yet distinct mechanisms: the presence of a higher-order symmetry-protected topological phase in the effective Hamiltonian, or the emergence of a dynamical constraint that prevents the decay of the corner mode. While the first mechanism ensures the stability of the sub-harmonic response throughout the entirety of the prethermal regime, it is restricted to initial states in the ground state manifold of the effective Hamiltonian. By contrast, the second mechanism enables the observation of the prethermal time-crystalline order for arbitrary initial states, albeit with a time scale that is not only determined by the frequency of the drive, but also the relative energy scale across the system's sublattices. We characterize these two mechanisms by simulating the dynamics of a periodically driven two-dimensional spin model, and discuss natural extensions of our model to all other dimensions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
