Multipole conservation laws and subdiffusion in any dimension

TL;DR

This paper investigates subdiffusive behavior in chaotic many-body systems with multipole conservation laws and subsystem symmetries across various dimensions, confirming hydrodynamic predictions through numerical simulations.

Contribution

It provides the first comprehensive numerical study of subdiffusion in models with multipole conservation laws in multiple dimensions, validating recent hydrodynamic theories.

Findings

Subdiffusive dynamics observed in all studied models.

Numerical results agree with hydrodynamic predictions.

Subdiffusion persists across different dimensions and symmetries.

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.