Pith. sign in

REVIEW 1 cited by

A Lieb-Robinson bound for quantum spin chains with strong on-site impurities

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2104.00968 v1 pith:ZE3WARD3 submitted 2021-04-02 math-ph math.MP

Martin Gebert , Alvin Moon , Bruno Nachtergaele This is my paper · ORCID
classification math-phmath.MP
keywords impuritiesspinboundschainheisenberglieb-robinsonon-sitequantum
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We consider a quantum spin chain with nearest neighbor interactions and sparsely distributed on-site impurities. We prove commutator bounds for its Heisenberg dynamics which incorporate the coupling strengths of the impurities. The impurities are assumed to satisfy a minimum spacing, and each impurity has a non-degenerate spectrum. Our results are proven in a broadly applicable setting, both in finite volume and in thermodynamic limit. We apply our results to improve Lieb-Robinson bounds for the Heisenberg spin chain with a random, sparse transverse field drawn from a heavy-tailed distribution.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Logarithmic lightcones in the multiparticle Anderson model with sparse interactions

    math-ph 2025-09 conditional novelty 7.0 of 10

    A single strong ZZ interaction in the 1D XY/Anderson model yields Lieb-Robinson bounds with a logarithmic lightcone and amplitude suppressed as 1/Δ.

Pith tools