Low-density parity-check codes as stable phases of quantum matter

C Yin, A Lucas - arxiv preprint arxiv:2411.01002, 2024 - arxiv.org
Phases of matter with robust ground-state degeneracy, such as the quantum toric code, are
known to be capable of robust quantum information storage. Here, we address the converse …

Response theory for locally gapped systems

J Henheik, T Wessel - arxiv preprint arxiv:2410.10809, 2024 - arxiv.org
We introduce a notion of a\emph {local gap} for interacting many-body quantum lattice
systems and prove the validity of response theory and Kubo's formula for localized …

Towards absolutely stable ergodicity breaking in two and three dimensions

C Stahl, O Hart, R Nandkishore - arxiv preprint arxiv:2410.08264, 2024 - arxiv.org
We propose new physically reasonable systems capable of avoiding ergodicity at infinite
time in the thermodynamic limit, even with generic perturbations and when coupled to a heat …