Hierarchical classical metastability in an open quantum East model

Rose, Dominic C.; MacIeszczak, Katarzyna; Lesanovsky, Igor; Garrahan, Juan P.

Abstract

We study in detail an open quantum generalization of a classical kinetically constrained model - the East model - known to exhibit slow glassy dynamics stemming from a complex hierarchy of metastable states with distinct lifetimes. Using the recently introduced theory of classical metastability for open quantum systems, we show that the driven open quantum East model features a hierarchy of classical metastabilities at low temperature and weak driving field. We find that the effective long-time description of its dynamics not only is classical, but shares many properties with the classical East model, such as obeying an effective detailed balance condition and lacking static interactions between excitations, but with this occurring within a modified set of metastable phases which are coherent, and with an effective temperature that is dependent on the coherent drive.

Citation

Rose, D. C., MacIeszczak, K., Lesanovsky, I., & Garrahan, J. P. (2022). Hierarchical classical metastability in an open quantum East model. Physical Review E, 105(4), Article 044121. https://doi.org/10.1103/PhysRevE.105.044121

• Journal Article Type: Article
• Acceptance Date: Mar 18, 2022
• Online Publication Date: Apr 15, 2022
• Publication Date: Apr 1, 2022
• Deposit Date: Apr 26, 2022
• Publicly Available Date: Apr 26, 2022
• Journal: Physical Review E
• Print ISSN: 2470-0045
• Electronic ISSN: 2470-0053
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 105
• Issue: 4
• Article Number: 044121
• DOI: https://doi.org/10.1103/PhysRevE.105.044121
• Public URL: https://nottingham-repository.worktribe.com/output/7765497
• Publisher URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.105.044121