局部耗散下耦合自旋-1/2系综中的互锁时间晶体
Interlocked Time Crystal in Coupled Spin-1/2 Ensembles under Local Dissipation
浏览论文内容
中文总结 AI 辅助
研究通过耦合两个自旋-1/2系综，在不扩大局部希尔伯特空间的情况下产生互锁时间晶体，利用平均场分析等方法确立其时间晶体特性，为耗散时间晶体序提供了新途径。
中文摘要 AI 辅助
多能级耗散系统可利用多个局部跃迁和相干通道来产生非平稳的时间晶体动力学。本文表明，通过将两个局部泵浦和衰减的自旋-1/2系综耦合成一个复合耗散系统，可在不扩大局部希尔伯特空间的情况下合成类似机制。该系综支持一个自主振荡相位；相反，相反的泵浦-衰减不平衡和系综间交换耦合可导致具有固定内部相位关系且无单系综对应物的单个互锁时间晶体。通过平均场分析、有限尺寸下刘维尔谱的精确计算以及累积量展开的时间相关性，一致地确立了时间晶体特性。我们的工作建立了一条通往耗散时间晶体序的途径，其中简单二能级子系统之间的耦合产生了否则由多能级成分提供的有效内部结构。
英文摘要
Multilevel dissipative systems can exploit multiple local transitions and coherence channels to generate nonstationary time-crystalline dynamics. Here we show that an analogous mechanism can be synthesized without enlarging the local Hilbert space by coupling two locally pumped and decaying spin-1/2 ensembles into a composite dissipative unit.Neither ensemble supports an autonomous oscillatory phase; instead, opposite pump-decay imbalances and inter-ensemble exchange coupling can lead to a single interlocked time crystal with a fixed internal phase relation and no single-ensemble counterpart. The time-crystalline character is consistently established through the mean-field analysis, exact calulation of Liouvillian spectra at finite size, and temporal correlations with cumulant expansion. Our work establishes a route to dissipative time-crystalline order in which coupling between simple two-level subsystems generates the effective internal structure otherwise provided by multilevel constituents.
