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Matrix product symmetries and breakdown of thermalization from hard rod deformations

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arxiv 2302.07219 v2 pith:AXPFSZ5U submitted 2023-02-14 cond-mat.stat-mech nlin.SI

Márton Borsi , Levente Pristyák , Balázs Pozsgay This is my paper · ORCID
classification cond-mat.stat-mechnlin.SI
keywords modelssymmetriesbreakdownhardintegrablematrixnon-integrableproduct
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We construct families of exotic spin-1/2 chains using a procedure called ``hard rod deformation''. We treat both integrable and non-integrable examples. The models possess a large non-commutative symmetry algebra, which is generated by matrix product operators with fixed small bond dimension. The symmetries lead to Hilbert space fragmentation and to the breakdown of thermalization. As an effect, the models support persistent oscillations in non-equilibrium situations. Similar symmetries have been reported earlier in integrable models, but here we show that they also occur in non-integrable cases.

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  1. Weak ergodicity breaking with isolated integrable sectors

    cond-mat.stat-mech 2024-12 accept novelty 7.0 of 10

    Isolated integrable subspaces can be embedded non-trivially into chaotic spin chains; all examples are perturbations of Hilbert-space-fragmented models.

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