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Quantum Many-Body Scars: A Quasiparticle Perspective

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arxiv 2206.11528 v2 pith:KW5B4JIR submitted 2022-06-23 cond-mat.str-el cond-mat.quant-gascond-mat.stat-mechquant-ph

classification cond-mat.str-elcond-mat.quant-gascond-mat.stat-mechquant-ph
keywords many-bodyquantumquasiparticlesscarsstatesalongbroadercease
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Weakly interacting quasiparticles play a central role in the low-energy description of many phases of quantum matter. At higher energies, however, quasiparticles cease to be well-defined in generic many-body systems due to a proliferation of decay channels. In this review, we discuss the phenomenon of quantum many-body scars, which can give rise to certain species of stable quasiparticles throughout the energy spectrum. This goes along with a set of unusual non-equilibrium phenomena including many-body revivals and non-thermal stationary states. We provide a pedagogical exposition of this physics via a simple yet comprehensive example, that of a spin-1 XY model. We place our discussion in the broader context of symmetry-based constructions of many-body scar states, projector embeddings, and Hilbert space fragmentation. We conclude with a summary of experimental progress and theoretical puzzles.

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Cited by 6 Pith papers

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

  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.

  2. Exact Quantum Many-Body Scars in 2D Quantum Gauge Models

    cond-mat.str-el 2025-05 conditional novelty 7.0 of 10

    Exact many-body scar eigenstates of a 2D XY model are mapped via Kramers-Wannier duality to exact scars of a Z2 lattice gauge theory.

  3. Streamlined Krylov construction and classification of ergodic Floquet systems

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    A Szegő/CMV Krylov construction maps Floquet unitary dynamics to a five-diagonal chain, with a conjectured classification of chaos and integrability by Verblunsky coefficient asymptotics.

  4. Single-eigenstate test of eigenstate thermalization hypothesis via perturbed eigenstate quench

    quant-ph 2026-08 conditional novelty 6.0 of 10

    A single-eigenstate ETH diagnostic based on the time-averaged evolution speed after a perturbed eigenstate quench is proposed, with an S-curve versus J-curve shape distinction benchmarked on small spin chains.

  5. Coexistence of ergodic and non-ergodic behavior and level spacing statistics in a one-dimensional model of a flat band superconductor

    cond-mat.supr-con 2024-11 conditional novelty 6.0 of 10

    A newly introduced one-dimensional flat band superconductor model appears to remain integrable when the on-site/bond singlet conversion term is added, based on level spacing statistics.

  6. Quantum Simulation of Large N Lattice Gauge Theories

    hep-lat 2024-11 conditional novelty 3.0 of 10

    At leading order in 1/N_c, SU(3) lattice Yang-Mills reduces to a PXP spin model with one qubit per plaquette, enabling simpler quantum simulation encodings.

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