A common wisdom posits that transport of conserved quantities across clean nonintegrable quantum systems at high temperatures is diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter if the strong interaction limit is taken. Using Krylov-typicality and purification matrix-product-state methods, we establish in short-to-intermediate time scales the following observations for the nonintegrable lattice model imitating the experimental Rydberg blockade simulator. Given the strict projection owing to the infinite density-density repulsion V, the Rydberg chain’s energy transport in the presence of a transverse field g is tentatively superdiffusive at infinite temperature featured by an anomalous scaling exponent \(\frac{3}{4}\), indicating the potential existence of a novel dynamical universality class. Imposing, in addition, a growing longitudinal field h causes a putative superdiffusion-to-ballistic transport transition at h ≈ g. Interestingly, all the above results persist for large but finite interactions and temperatures, provided that the strongly interacting condition g, h ≪ k_BT ≪ V is fulfilled. Our predictions are testable by current Rydberg quantum simulation facilities.

一个普遍的观点认为，当从涌现的流体动力学状态进行探测时，高温下守恒量在清洁的不可积量子系统中的传输是扩散的。我们表明，如果采用强相互作用限制，这种经验范式可能会改变。使用克雷洛夫典型性和纯化矩阵产物状态方法，我们在中短时间尺度内建立了模仿实验里德堡封锁模拟器的不可积晶格模型的以下观察结果。考虑到由于无限密度-密度斥力V引起的严格投影，在存在横向场g的情况下，里德堡链的能量传输在无限温度下暂时是超扩散的，其特征在于异常的标度指数\(\frac{3}{4}\ ） ，表明新的动态普遍性类的潜在存在。此外，施加不断增长的纵向场h会导致在h ≈ g处发生假定的超扩散到弹道输运的转变。有趣的是，只要满足强相互作用条件g , h ≪ k _B T ≪ V ，上述所有结果对于大但有限的相互作用和温度都成立。我们的预测可以通过当前的里德堡量子模拟设施进行测试。