AI 中文总结
本研究引入Rabi-Hatano-Nelson模型，揭示自分区界面时间晶体的存在与机制，其由非互易性和开放边界条件诱导，频率随自旋-光子耦合强度二次方缩放，为非厄米多体系统时空序提供新途径。
AI 中文摘要
非平衡多体系统可在时间上自发破缺对称性，如时间晶体，或在空间上通过自组织畴与界面实现。这两种对称性破缺形式能否交织，使得仅一个涌现的界面承载时间晶体序，目前尚不清楚。本研究通过引入Rabi-Hatano-Nelson模型，揭示了自分区界面时间晶体（SPITC）的存在及其机制：均匀系统会生成自身内部可调的界面，该界面处时间平移对称性也会自发破缺。这种SPITC相本质上由非互易性与开放边界条件诱导，无需外部泵浦或长程相互作用。我们绘制了该系统的周期与开放边界相图，识别出具有静态或动态序的真空及类Dicke超辐射，并给出弱耦合极限下的解析相边界。我们推导了自旋慢动力学的解析结果，发现SPITC的频率随自旋-光子耦合强度呈二次方缩放；SPITC边界的位置随非互易度的变化，其临界指数为-1，这与常规静态边界对应的-1/2形成鲜明对比。我们构建的SPITC为非厄米多体系统中的时空序提供了一条实现路径。
英文摘要
Nonequilibrium many-body systems can spontaneously break symmetry in time, as in time crystals, or in space, through self-organized domains and interfaces. Whether these two forms of symmetry breaking can intertwine so that an emergent interface alone hosts time-crystalline order remains unknown. In this work, by introducing the Rabi-Hatano-Nelson model, we unveil the existence and mechanism of a self-partitioned interfacial time crystal (SPITC), where a homogeneous system generates its own internal and tunable interface, at which the time-translation symmetry is also spontaneously broken. Such a SPITC phase is intrinsically induced by nonreciprocity and open boundary conditions, without external pumping or long-range interaction. The periodic and open boundary phase diagrams of the system are both mapped out; vacuum and Dicke-like superradiance with static or active orders are identified, with analytical phase boundaries in the weak coupling limit. The frequency of the SPITC is found to scale quadratically with the spin-photon coupling strength, as we derive analytically for the slow dynamics of the spins. The position of the SPITC boundary scales with a critical exponent of $-1$ as a function of the degree of nonreciprocity, in stark contrast to $-1/2$ for an otherwise stationary boundary. Our construction of SPITC establishes a route to spatiotemporal order in non-Hermitian many-body systems.
