Related papers: Emergence of Hilbert Space Fragmentation in Ising Models with a Weak Transverse Field

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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