论文标题
弗雷德金自旋链的缓慢动力学
Slow dynamics of the Fredkin spin chain
论文作者
论文摘要
量子多粒子系统的动力学行为的特征是其激发的寿命。当系统受到干扰时，任何非保守数量衰减的可观察到呈指数衰减，但是保守量的衰减量会放松到与功率定律平衡的情况下。此类过程与动态指数$ z $相关联，该$ z $将相关性在时空中的传播相关联。我们提出了弗雷德金模型的数值结果，弗雷德金模型是一个具有三体相互作用项的量子自旋链，其表现出异常大的动力学指数。我们讨论了通过直接模拟量子进化来产生可靠的估计$ z $ = 3.16（1）的努力，并用激发键在蒙特卡洛时间执行约束随机行走的激发键来解释缓慢的动态。
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 non-conserved 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 $z$=3.16(1) 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.
