The dynamical behavior of a quantum many-particle system is characterized by the lifetime of its excitations. When the system is perturbed, observables of any nonconserved quantity decay exponentially, but those of a conserved quantity relax to equilibrium with a power law. Such processes are associated with a dynamical exponent $z$ that relates the spread of correlations in space and time. We present numerical results for the Fredkin model, a quantum spin chain with a three-body interaction term, which exhibits an unusually large dynamical exponent. We discuss our efforts to produce a reliable estimate $z\doteq 3.16\left(1\right)$ through direct simulation of the quantum evolution and to explain the slow dynamics in terms of an excited bond that executes a constrained random walk in Monte Carlo time.

中文翻译：

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Fredkin 自旋链的慢动力学

量子多粒子系统的动力学行为以其激发的寿命为特征。当系统受到扰动时，任何非守恒量的可观测量都会呈指数衰减，但守恒量的可观测量会根据幂律松弛到平衡。这样的过程与动态指数相关联$z$这涉及相关性在空间和时间上的传播。我们展示了 Fredkin 模型的数值结果，这是一个具有三体相互作用项的量子自旋链，它表现出异常大的动态指数。我们讨论了我们为产生可靠估计所做的努力$z\doteq 3.16\left(1\right)$ 通过对量子演化的直接模拟，并根据在蒙特卡罗时间执行受约束的随机游走的激发键来解释慢动力学。