Emergence of Hilbert Space Fragmentation in Ising Models with a Weak
Transverse Field
- URL: http://arxiv.org/abs/2111.05586v3
- Date: Mon, 29 Aug 2022 08:23:13 GMT
- Title: Emergence of Hilbert Space Fragmentation in Ising Models with a Weak
Transverse Field
- Authors: Atsuki Yoshinaga, Hideaki Hakoshima, Takashi Imoto, Yuichiro
Matsuzaki, and Ryusuke Hamazaki
- Abstract summary: We show for the first time the breakdown of ergodicity in $d$-dimensional Ising models with a weak transverse field in a prethermal regime.
Our results indicate nontrivial initial-state dependence for non-equilibrium dynamics of the Ising models in a weak transverse field.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The transverse-field Ising model is one of the fundamental models in quantum
many-body systems, yet a full understanding of its dynamics remains elusive in
higher than one dimension. Here, we show for the first time the breakdown of
ergodicity in $d$-dimensional Ising models with a weak transverse field in a
prethermal regime. We demonstrate that novel Hilbert-space fragmentation occurs
in the effective non-integrable model with $d\geq2$ as a consequence of only
one emergent global conservation law of the domain wall number. Our results
indicate nontrivial initial-state dependence for non-equilibrium dynamics of
the Ising models in a weak transverse field.
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