eprintid: 10065981 rev_number: 18 eprint_status: archive userid: 608 dir: disk0/10/06/59/81 datestamp: 2019-01-17 12:51:33 lastmod: 2021-10-07 21:51:32 status_changed: 2019-01-17 12:51:33 type: article metadata_visibility: show creators_name: Lan, Z creators_name: Van Horssen, M creators_name: Powell, S creators_name: Garrahan, JP title: Quantum Slow Relaxation and Metastability due to Dynamical Constraints ispublished: pub divisions: UCL divisions: B04 divisions: C05 divisions: F46 note: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. abstract: One of the general mechanisms that give rise to the slow cooperative relaxation characteristic of classical glasses is the presence of kinetic constraints in the dynamics. Here we show that dynamical constraints can similarly lead to slow thermalization and metastability in translationally invariant quantum many-body systems. We illustrate this general idea by considering two simple models: (i) a one-dimensional quantum analogue to classical constrained lattice gases where excitation hopping is constrained by the state of neighboring sites, mimicking excluded-volume interactions of dense fluids; and (ii) fully packed quantum dimers on the square lattice. Both models have a Rokhsar-Kivelson (RK) point at which kinetic and potential energy constants are equal. To one side of the RK point, where kinetic energy dominates, thermalization is fast. To the other, where potential energy dominates, thermalization is slow, memory of initial conditions persists for long times, and separation of timescales leads to pronounced metastability before eventual thermalization. Furthermore, in analogy with what occurs in the relaxation of classical glasses, the slow-thermalization regime displays dynamical heterogeneity as manifested by spatially segregated growth of entanglement. date: 2018-07-27 date_type: published official_url: https://doi.org/10.1103/PhysRevLett.121.040603 oa_status: green full_text_type: pub language: eng primo: open primo_central: open_green article_type_text: Journal Article verified: verified_manual elements_id: 1620057 doi: 10.1103/PhysRevLett.121.040603 lyricists_name: Lan, Zhihao lyricists_id: ZLANX62 actors_name: Flynn, Bernadette actors_id: BFFLY94 actors_role: owner full_text_status: public publication: Physical Review Letters volume: 121 number: 4 article_number: 040603 issn: 1079-7114 citation: Lan, Z; Van Horssen, M; Powell, S; Garrahan, JP; (2018) Quantum Slow Relaxation and Metastability due to Dynamical Constraints. Physical Review Letters , 121 (4) , Article 040603. 10.1103/PhysRevLett.121.040603 <https://doi.org/10.1103/PhysRevLett.121.040603>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/10065981/1/PhysRevLett.121.040603.pdf