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Multipole conservation laws and subdiffusion in any dimension

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Jason Iaconis, Andrew Lucas, Rahul Nandkishore

Statistical Mechanics · Submitted 14 Sep 2020

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Subdiffusion is a generic feature of chaotic many-body dynamics with multipole conservation laws and subsystem symmetries.

how it is stated · asserted 1.00 read the record →

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arXiv ID2009.06507 (version 1)
Pith IDX4XRJAHA, Pith's permanent record of this paper and its review
CitationAndrew Lucas, Jason Iaconis, Rahul Nandkishore. "Multipole conservation laws and subdiffusion in any dimension." arXiv:2009.06507 (2020). https://pith.science/paper/X4XRJAHA
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,960 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.02 · states quantitative result 0.06 · compares with prior results 0.85 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Subdiffusion is a generic feature of chaotic many-body dynamics with multipole conservation laws and subsystem symmetries. background 0.88 0.16 0.80 asserted 1.00
s1 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. method 0.74 0.96 0.06 asserted 0.99
s2 Our results are in complete agreement with recent hydrodynamic predictions for such theories. result 0.64 0.74 0.26 asserted 1.00

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

What was examined, and what was not

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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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.

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References
How later papers used it

50 later papers cite it

Evidence: some. 39 of the citing papers share no author with it, and 6 of those carry a confident label from Pith's citation classifier.

Pith read 3 of the 79 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its method or tool 2 of 6 papers with this label · 1 by the same authors

By the same authors

  • Performed a scaling collapse of the imbalance starting from quadrupole initial states with various k_x/k_y, as this paper did for a layered circuit architecture, to extract D^xy and D^xx.

    Hidden quasiconservation laws in fracton hydrodynamics (2021) (same authors) · 0.98 · paraphrased: the licence does not allow quoting

How the literature uses it

7 arXiv papers cite this in 9 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Uses its method or tool 1 paper
  • This approach follows recent works on automata circuits [ref] , that have been applied to study the transport properties of fracton models [ref] , and have even been connected to the dynamics of more conventional random unitary quantum circuits [ref] .

    Emergent Fracton Dynamics in a Non-Planar Dimer Model · Time evolution · 0.85

Cites it as background 2 papers
  • Before we delve into the details of our formalism and results, we note that our work is not the first to tackle the hydrodynamic description for dipole-invariant systems; see [ref] .

    Dipole superfluid hydrodynamics · Introduction · 0.88

  • Dipole symmetry: Besides non-invertible symmetry, lattice models are playgrounds for other exotic symmetries like subsystem symmetry [ref] ,[ Subsystem symmetry is also known as gauge-like symmetry in previous literature [ref] which is related to topological memories at finite temperature.] fractal symmetry [ref] and multipole symmetry [ref] .

    Generating Lattice Non-invertible Symmetries · Introduction · 0.99

What it cites · 1 sentence without a confident label

Cites as support 1 paper
Cites as background 2 papers

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