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Quantum Many-Body Scars and Weak Breaking of Ergodicity

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arxiv 2011.09486 v1 pith:MWUG6F3V submitted 2020-11-18 quant-ph cond-mat.quant-gascond-mat.stat-mechcond-mat.str-elnlin.CD

classification quant-phcond-mat.quant-gascond-mat.stat-mechcond-mat.str-elnlin.CD
keywords quantumscarsmany-bodyergodicityweakbreakinghighlightalgebras
verification ladder T0 review T1 audit T2 compute T3 formal
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Recent discovery of persistent revivals in quantum simulators based on Rydberg atoms have pointed to the existence of a new type of dynamical behavior that challenged the conventional paradigms of integrability and thermalization. This novel collective effect has been named quantum many-body scars by analogy with weak ergodicity breaking of a single particle inside a stadium billiard. In this overview, we provide a pedagogical introduction to quantum many-body scars and highlight the newly emerged connections with the semiclassical quantization of many-body systems. We discuss the relation between scars and more general routes towards weak violations of ergodicity due to "embedded" algebras and non-thermal eigenstates, and highlight possible applications of scars in quantum technology.

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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 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.

  2. 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.

  3. Size Operator and Spectral Clustering in the Two Coupled SYK Model

    hep-th 2026-08 conditional novelty 6.0 of 10

    The finite-N spectrum of the two coupled SYK model organizes into operator-size clusters that underlie the conformal towers, revival dynamics, and wormhole-black hole transition.

  4. Many-Body Physics from Spin-Phonon Coupling in Rydberg Atom Arrays

    cond-mat.quant-gas 2025-07 conditional novelty 6.0 of 10

    Spin-phonon coupling from atomic vibrations in Rydberg arrays induces three-spin interactions that stabilize a new Z3 phase and suppress quantum scar thermalization.

  5. Complexity of PXP scars revisited

    hep-th 2025-06 conditional novelty 6.0 of 10

    In the PXP model, the arch in the Lanczos coefficients is traced to a linear sl(3) part of the Hamiltonian, and the arch width is proposed as a signal distinguishing scarred from thermalizing states.

  6. Few is different: deciphering many-body dynamics in mesoscopic quantum gases

    cond-mat.quant-gas 2025-09 unverdicted novelty 3.0 of 10

    A workshop report mapping the size, equilibrium, and interaction frontiers of hydrodynamic behavior in mesoscopic quantum systems, connecting few-atom Fermi gases and high-energy small collision systems.

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