论文标题

多极保护法和在任何维度

Multipole conservation laws and subdiffusion in any dimension

论文作者

Iaconis, Jason, Lucas, Andrew, Nandkishore, Rahul

论文摘要

亚扩散是混乱多体动力学的一般特征,具有多极保护定律和子系统对称性。我们使用量子自动机随机统一电路在数值上研究了这种次序的动力学,在广泛的模型中,包括带有偶极子和四极杆的一个维模型,具有偶极子保护的二维模型,以及在三角形晶格上具有子系统对称性的二维模型。我们的结果与最近对此类理论的流体动力学预测完全一致。

Subdiffusion is a generic feature of chaotic many-body dynamics with multipole conservation laws and subsystem symmetries. We numerically study this subdiffusive dynamics, using quantum automaton random unitary circuits, in a broad range of models including one dimensional models with dipole and quadrupole conservation, two dimensional models with dipole conservation, and two dimensional models with subsystem symmetry on the triangular lattice. Our results are in complete agreement with recent hydrodynamic predictions for such theories.

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