论文标题
在半经典极限下，玻色粒量子东模型的缓慢动态和非连接性
Slow dynamics and non-ergodicity of the bosonic quantum East model in the semiclassical limit
论文作者
论文摘要
我们研究了玻色粒量子东模型的统一动力学，这是一个动力学约束的晶格模型，将量子东模型泛化为每个位置任意职业。我们考虑了大（但有限）位点占用率的半经典极限，以便通过Gross-Pitaevskii类型的进化方程近似动力学。这使我们能够在数字系统的数字上研究数百个站点的大小。就像在旋转$ 1/2 $的情况下一样，我们发现了两个动态阶段，一个活跃的快速热量，以及一种不活跃的慢性放松和缺乏数值访问时间表上的奇迹性。这种明显的沿着非共性过渡的位置与基态的定位过渡一致。我们进一步表征了在原本厄运制度中所有时间尺度上非熟人的状态。
We study the unitary dynamics of the bosonic quantum East model, a kinetically constrained lattice model which generalises the quantum East model to arbitrary occupation per site. We consider the semiclassical limit of large (but finite) site occupancy, so that the dynamics are approximated by an evolution equation of the Gross-Pitaevskii kind. This allows us to numerically study in detail system sizes of hundreds of sites. Like in the spin-$1/2$ case, we find two dynamical phases, an active one of fast thermalisation, and an inactive one of slow relaxation and absence of ergodicity on numerically accessible timescales. The location of this apparent ergodic to non-ergodic transition coincides with the localisation transition of the ground state. We further characterize states which are non-ergodic on all timescales in the otherwise ergodic regime.
