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Multipole conservation laws and subdiffusion in any dimension

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arxiv 2009.06507 v1 pith:X4XRJAHA submitted 2020-09-14 cond-mat.stat-mech cond-mat.str-el

Multipole conservation laws and subdiffusion in any dimension

classification cond-mat.stat-mech cond-mat.str-el
keywords conservationmodelsdimensionaldipoledynamicslawsmultipolesubdiffusion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 1 Pith paper

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    Strong level repulsion produces damped crystalline oscillations of the spectral form factor, with a Debye-Waller suppression, a new plateau time scale t* ≈ t_H sqrt(β/4), and predictable derivative singularities.