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Connection between quantum-many-body scars and the AKLT model from the viewpoint of embedded Hamiltonians

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arxiv 1904.05182 v2 pith:YA4UZ7IM submitted 2019-04-10 cond-mat.stat-mech cond-mat.str-elquant-ph

Naoto Shiraishi This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.str-elquant-ph
keywords aklthamiltonianconnectionmodeleigenstatesembeddedenergyhamiltonians
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We elucidate the deep connection between the PXP model, which is a standard model of quantum many-body scars, and the AKLT Hamiltonian. Using the framework of embedded Hamiltonians, we establish the connection between the PXP Hamiltonian and the AKLT Hamiltonian, which clarifies the reason why the PXP Hamiltonian has nonthermal energy eigenstates similar to the AKLT state. Through this analysis, we find that the presence of such nonthermal energy eigenstates reflects the symmetry in the AKLT Hamiltonian.

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  1. Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz

    quant-ph 2026-05 unverdicted novelty 7.0 of 10

    Exact eigenstates of non-frustration-free quantum many-body systems are constructed via a local error cancellation matrix-product ansatz.

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