Kavli Affiliate: Masahito Yamazaki
| First 5 Authors: Yuan Miao, Linhao Li, Hosho Katsura, Masahito Yamazaki,
| Summary:
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 $mathbb{Z}_2$ 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 $mathbb{Z}_2$ gauge model. This construction is versatile and has
potential applications for finding new QMBS in other higher-dimensional models.
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