AI 中文总结
本研究针对含非互易相互作用的两物种随机场伊辛模型，通过精确求解完全图上的贪婪Glauber动力学，发现无需外驱动、仅靠随机场无序与非互易相互作用即可在三维及完全图中产生时间晶体，二维体系则无该相。
AI 中文摘要
本文采用贪婪Glauber动力学研究了一种两物种间存在非互易相互作用的随机场伊辛模型。通过在完全图上精确求解动力学，我们得到了该模型以非互易相互作用强度（$K$）和淬灭随机场分布的方差（$σ$）为变量的相图。该模型呈现出丰富的相图：在$K$和$σ$取中间值时存在混沌时间振荡相。该混沌相具有稳定的时间振荡，且在完全图和三维体系中，其自相关时间随系统尺寸发散。我们发现，仅靠随机场无序与非互易相互作用，无需外部驱动即可产生时间晶体。在二维体系中，自相关时间不随系统尺寸增加，时间晶体相不存在。
英文摘要
A two species random field Ising model with non-reciprocal interactions between the species is studied using the greedy Glauber dynamics. By solving the dynamics exactly on a complete graph, we obtain the phase diagram of the model as a function of the non-reciprocal interaction ($K$) and the variance ($σ$) of the quenched random field distribution. The model exhibits a rich phase diagram with the presence of a chaotic time-oscillatory phase for intermediate values of $K$ and $σ$. The chaotic phase has stable time oscillations along with the autocorrelation time that diverges with system size on a complete graph and also in three dimensions. We find that the random field disorder along with non-reciprocal interaction alone can produce a time crystal without an external driving. In two dimensions the autocorrelation time does not increase with the system size and the time crystal phase is absent.
