标题： 离散时间晶体通过时间平移扭曲检测到 显示英文标题

标题： Discrete time crystals detected by time-translation twist

摘要： 我们引入了一种由时间平移扭曲的边界条件作为一种新的探针，以表征周期驱动（Floquet）量子系统中的动力学相。受平衡系统中扭曲边界条件的启发，这种方法在完成空间环时修改了系统的时序演化，从而能够识别不同的Floquet相，包括离散时间晶体（DTCs）。通过研究光谱形式因子（SFF）及其对扭曲的响应，我们揭示了时间晶体顺序的特征，这种顺序表现出与超导体中的Little-Parks效应类似的周期性依赖于扭曲参数。我们将这一框架应用于踢动Ising模型，证明我们的扭曲可以区分时间晶体相。 显示英文摘要

摘要： We introduce a boundary condition twisted by time translation as a novel probe to characterize dynamical phases in periodically driven (Floquet) quantum systems. Inspired by twisted boundary conditions in equilibrium systems, this approach modifies the temporal evolution of the system upon completing a spatial loop, enabling the identification of distinct Floquet phases, including discrete time crystals (DTCs). By studying the spectral form factor (SFF) and its response to the twist, we uncover signatures of time-crystalline order, which exhibits periodic dependence on the twist parameter analogous to the Little-Parks effect in superconductors. We apply this framework to the kicked Ising model, demonstrating that our twist can distinguish time-crystalline phases.