Emergence of Hilbert Space Fragmentation in Ising Models with a Weak Transverse Field
Atsuki Yoshinaga, Hideaki Hakoshima, Takashi Imoto, Yuichiro Matsuzaki, Ryusuke Hamazaki
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 nonintegrable model with d≥2 as a consequence of only one emergent global conservation law of the domain wall number. Our results indicate nontrivial initial-state dependence for nonequilibrium dynamics of the Ising models with a weak transverse field.
Topics & Concepts
Ising modelPhysicsErgodicityHilbert spaceTransverse fieldStatistical physicsTransverse planeQuantumQuantum mechanicsEngineeringStructural engineeringQuantum many-body systemsOpinion Dynamics and Social InfluencePhysics of Superconductivity and Magnetism