Multipole conservation laws and subdiffusion in any dimension.

Iaconis, Jason; Lucas, Andrew; Nandkishore, Rahul · Phys Rev E · 2021

basic_science · Level V

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Abstract

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.