Slow dynamics and nonergodicity of the bosonic quantum East model in the semiclassical limit

Geißler, Andreas; Garrahan, Juan P.

Abstract

We study the unitary dynamics of the bosonic quantum East model, a kinetically constrained lattice model which generalizes the quantum East model to arbitrary occupation per site. We consider the semiclassical limit of large (but finite) site occupancy so that the dynamics is approximated by an evolution equation of the Gross-Pitaevskii kind. This allows us to numerically study in detail system sizes of hundreds of sites. Like in the spin-12 case, we find two dynamical phases, an active one of fast thermalization and an inactive one of slow relaxation and the absence of ergodicity on numerically accessible timescales. The location of this apparent ergodic to nonergodic transition coincides with the localization transition of the ground state. We further characterize states which are nonergodic on all timescales in the otherwise ergodic regime.

Citation

Geißler, A., & Garrahan, J. P. (2023). Slow dynamics and nonergodicity of the bosonic quantum East model in the semiclassical limit. Physical Review E, 108(3), Article 034207. https://doi.org/10.1103/PhysRevE.108.034207

• Journal Article Type: Article
• Acceptance Date: Aug 17, 2023
• Online Publication Date: Sep 18, 2023
• Publication Date: 2023-09
• Deposit Date: Oct 4, 2023
• Publicly Available Date: Oct 4, 2023
• Journal: Physical Review E
• Print ISSN: 1539-3755
• Electronic ISSN: 2470-0053
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 108
• Issue: 3
• Article Number: 034207
• DOI: https://doi.org/10.1103/PhysRevE.108.034207
• Keywords: Bosons; Dynamic critical phenomena; Nonequilibrium statistical mechanics; Chaotic systems; Glassy systems; Nonequilibrium lattice models; Stochastic dynamical systems
• Public URL: https://nottingham-repository.worktribe.com/output/25645090
• Publisher URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.108.034207