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Ergodic and non-ergodic properties of disordered SU(3) chains

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arxiv 2403.00442 v1 pith:RVNI6TNT submitted 2024-03-01 cond-mat.dis-nn cond-mat.str-el

Bhupen Dabholkar , Fabien Alet This is my paper · ORCID
classification cond-mat.dis-nncond-mat.str-el
keywords disorderedsystemspropertieschainseigenstateslocalizationmany-bodynon-ergodic
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Non-abelian symmetries are thought to be incompatible with many-body localization, but have been argued to produce in certain disordered systems a broad non-ergodic regime distinct from many-body localization. In this context, we present a numerical study of properties of highly-excited eigenstates of disordered chains with SU(3) symmetry. We find that while weakly disordered systems rapidly thermalize, strongly-disordered systems indeed exhibit non-thermal signatures over a large range of system sizes, similar to the one found in previously studied SU(2) systems. Our analysis is based on the spectral, entanglement, and thermalization properties of eigenstates obtained through large-scale exact diagonalization exploiting the full SU(3) symmetry.

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Cited by 2 Pith papers

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

  1. Numerical evidence for the non-Abelian eigenstate thermalization hypothesis

    quant-ph 2024-12 conditional novelty 6.0 of 10

    Numerical exact-diagonalization evidence from an 18-qubit Heisenberg chain supports the non-Abelian eigenstate thermalization hypothesis, and an analytic argument shows the hypothesis is self-consistent under a modifi...

  2. Spectral Decimation of Quantum Many-Body Hamiltonians

    cond-mat.stat-mech 2026-02 conditional novelty 5.0 of 10

    For a spectrum that is a statistical mixture of independent symmetry sectors, the correlated remainder after removing Poisson-distributed gaps has expected size equal to the size-biased average of the sector dimensions.

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