2025/05/28 by Yuan Miao, Linhao Li, Miao, Yuan +5 · 3 voices · 3 citations
Physics and Astronomy · #Classical XY model #Cold Atom Physics and Bose-Einstein Condensates #Duality (order theory) #Eigenvalues and eigenvectors #Exact solutions in general relativity #Gauge (firearms) #Gauge theory #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems
paper · pdf · doi:10.22331/q-2026-07-18-2164
openalex created_date 2025/10/10 · openalex publication_date 2026/07/18 · rss pubdate 2026/07/18 · openalex updated_date 2026/08/05
Quantum 10, 2164 (2026). https://doi.org/10.22331/q-2026-07-18-2164 Quantum many-body scars (QMBS) serve as important examples of ergodicity-breaking phenomena in quantum many-body systems. Despite recent extensive studies, exact QMBS are rare in dimensions higher than one. In this paper, we study a two-dimensional quantum ℤ2 gauge model that is dual to a two-dimensional spin-1/2 XY model defined on bipartite graphs. We identify the exact eigenstates of the XY model with a tower structure as exact QMBS. Exploiting the duality transformation, we show that the exact QMBS of the XY model (and XXZ model) after the transformation are the exact QMBS of the dual ℤ2 gauge model. This construction is versatile and has potential applications for finding new QMBS in other higher-dimensional models.