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Efficient search for excitable zero-modes in constrained systems — arXiv:2608.31165

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.31165
License (as archived): CC0-1.0
Archived: 2026-10-17T10:15:05.247Z
SHA-256 of the archived text: 7f66f95ad38ada1da65f59c3edf5c84de7826949ab27bda5ffdb04180eace644
Stable URL of this page: https://metraipolis.com/documento/dc_bb659652ec6b

How to cite

Efficient search for excitable zero-modes in constrained systems — arXiv:2608.31165 — arXiv (en), https://arxiv.org/abs/2608.31165 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_bb659652ec6b (Metraipolis archive dc_bb659652ec6b, sha256 7f66f95ad38ada1da65f59c3edf5c84de7826949ab27bda5ffdb04180eace644)

BibTeX

@misc{dcbb659652ec6b,
  title = {Efficient search for excitable zero-modes in constrained systems — arXiv:2608.31165},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.31165},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_bb659652ec6b; sha256 7f66f95ad38ada1da65f59c3edf5c84de7826949ab27bda5ffdb04180eace644},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.31165. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Kinetically constrained systems, such as those representing Rydberg atom arrays in the blockade regime, have gathered considerable attention due to the presence of atypical eigenstates in their spectrum. The latter manifests itself through the presence of quantum many-body scars as well as unusually large zero-mode (ZM) subspaces which contain analytically tractable eigenstates with various entanglement scalings. In particular, some of the latter are excitable zero-modes (EZMs), meaning that they can be promoted to a non-zero energy for open boundary conditions. In this work, I present an efficient protocol for finding analytical expressions for translation-invariant EZMs in constrained systems, based on the eigendecomposition of the local unconstrained Hamiltonian. I demonstrate the power of this method on a decorated Rydberg chain. In that model, my protocol directly produces a continuous matrix-product-state manifold located entirely in the zero-energy eigenspace for periodic boundary conditions. The span of that manifold grows exponentially with the system, and for odd system sizes it covers the entire zero-momentum eigenspace with zero energy. I then show how the physical structure of the manifold, which is tied to the local eigenbasis, also allows one to derive analytical expressions for ZMs at non-zero momentum and for a polynomial number of exact scars at $E=\pm\sqrt{3}$.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-01 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el).
Pagina del lavoro: https://arxiv.org/abs/2608.31165 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T10:03:37.632Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).