论文标题
环形交换系统中密度波的异常松弛
Anomalous relaxation of density waves in a ring-exchange system
论文作者
论文摘要
我们通过数值模拟介绍了在平方晶格上通过随机动力学表现出的放慢量的分析。我们发现长时间意外的密度波类型的初始状态的粗粒度保留。这种行为与假设平均场解决方案所开发的低频连续理论的预测不一致。通过对动态活跃区域的相关函数的详细分析，我们在一个方向上表现出非常规的瞬态长期结构形成，这对于初始条件是毫无特色的，并认为其缓慢的熔化在减速机制中起着至关重要的作用。我们希望我们的结果也与硬核玻色子的量子环 - 交换动力学的动力学相关，而更普遍地与偶极矩保存模型相关
We present the analysis of the slowing down exhibited by stochastic dynamics of a ring-exchange model on a square lattice, by means of numerical simulations. We find the preservation of coarse-grained memory of initial state of density-wave types for unexpectedly long times. This behavior is inconsistent with the prediction from a low frequency continuum theory developed by assuming a mean-field solution. Through a detailed analysis of correlation functions of the dynamically active regions, we exhibit an unconventional transient long ranged structure formation in a direction which is featureless for the initial condition, and argue that its slow melting plays a crucial role in the slowing-down mechanism. We expect our results to be relevant also for the dynamics of quantum ring-exchange dynamics of hard-core bosons and more generally for dipole moment conserving models
