Many-body dynamics of the transverse-field Ising model

Markus Schmitt, Markus Heyl

Michael Kolodrubetz, Bryan K. Clark, David A. Huse

Atsuki Yoshinaga, Hideaki Hakoshima, Takashi Imoto +2 more

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.

Nicolai Lang, Hans Peter Büchler

Random quantum circuits have emerged as useful toy models for entanglement transitions in quantum many-body systems. Here, the authors study a projective version of the transverse-field Ising model without unitary dynamics where the competition between two noncommuting measurements drives an entanglement transition. The authors identify a nonlocal classical process that captures the entanglement dynamics and relate the model to bond percolation in space-time. This leads to a conformal field theory description of the system at criticality which they verify numerically for large systems.

Meng Qin, Li Wang, Man-Li He +1 more

L.L. Gonçalves, Roger James Elliott