--- _id: '327' abstract: - lang: eng text: Many-body quantum systems typically display fast dynamics and ballistic spreading of information. Here we address the open problem of how slow the dynamics can be after a generic breaking of integrability by local interactions. We develop a method based on degenerate perturbation theory that reveals slow dynamical regimes and delocalization processes in general translation invariant models, along with accurate estimates of their delocalization time scales. Our results shed light on the fundamental questions of the robustness of quantum integrable systems and the possibility of many-body localization without disorder. As an example, we construct a large class of one-dimensional lattice models where, despite the absence of asymptotic localization, the transient dynamics is exceptionally slow, i.e., the dynamics is indistinguishable from that of many-body localized systems for the system sizes and time scales accessible in experiments and numerical simulations. acknowledgement: 'We thank F. Huveneers for useful discussions. Z.P. and A.M. acknowledge support by EPSRC Grant No. EP/P009409/1 and and the Royal Society Research Grant No. RG160635. Statement of compliance with EPSRC policy framework on research data: This publication is theoretical work that does not require supporting research data. D.A. acknowledges support by the Swiss National Science Foundation. M.Z., M.M. and T.P. acknowledge Grants J1-7279 (M.Z.) and N1-0025 (M.M. and T.P.) of Slovenian Research Agency, and Advanced Grant of European Research Council, Grant No. 694544 - OMNES (T.P.).' article_number: '104307' article_processing_charge: No author: - first_name: Alexios full_name: Michailidis, Alexios id: 36EBAD38-F248-11E8-B48F-1D18A9856A87 last_name: Michailidis orcid: 0000-0002-8443-1064 - first_name: Marko full_name: Žnidarič, Marko last_name: Žnidarič - first_name: Mariya full_name: Medvedyeva, Mariya last_name: Medvedyeva - first_name: Dmitry full_name: Abanin, Dmitry last_name: Abanin - first_name: Tomaž full_name: Prosen, Tomaž last_name: Prosen - first_name: Zlatko full_name: Papić, Zlatko last_name: Papić citation: ama: Michailidis A, Žnidarič M, Medvedyeva M, Abanin D, Prosen T, Papić Z. Slow dynamics in translation-invariant quantum lattice models. Physical Review B. 2018;97(10). doi:10.1103/PhysRevB.97.104307 apa: Michailidis, A., Žnidarič, M., Medvedyeva, M., Abanin, D., Prosen, T., & Papić, Z. (2018). Slow dynamics in translation-invariant quantum lattice models. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.97.104307 chicago: Michailidis, Alexios, Marko Žnidarič, Mariya Medvedyeva, Dmitry Abanin, Tomaž Prosen, and Zlatko Papić. “Slow Dynamics in Translation-Invariant Quantum Lattice Models.” Physical Review B. American Physical Society, 2018. https://doi.org/10.1103/PhysRevB.97.104307. ieee: A. Michailidis, M. Žnidarič, M. Medvedyeva, D. Abanin, T. Prosen, and Z. Papić, “Slow dynamics in translation-invariant quantum lattice models,” Physical Review B, vol. 97, no. 10. American Physical Society, 2018. ista: Michailidis A, Žnidarič M, Medvedyeva M, Abanin D, Prosen T, Papić Z. 2018. Slow dynamics in translation-invariant quantum lattice models. Physical Review B. 97(10), 104307. mla: Michailidis, Alexios, et al. “Slow Dynamics in Translation-Invariant Quantum Lattice Models.” Physical Review B, vol. 97, no. 10, 104307, American Physical Society, 2018, doi:10.1103/PhysRevB.97.104307. short: A. Michailidis, M. Žnidarič, M. Medvedyeva, D. Abanin, T. Prosen, Z. Papić, Physical Review B 97 (2018). date_created: 2018-12-11T11:45:50Z date_published: 2018-03-19T00:00:00Z date_updated: 2023-09-18T09:31:46Z day: '19' department: - _id: MaSe doi: 10.1103/PhysRevB.97.104307 external_id: isi: - '000427798800005' intvolume: ' 97' isi: 1 issue: '10' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1706.05026 month: '03' oa: 1 oa_version: Preprint publication: Physical Review B publication_status: published publisher: American Physical Society publist_id: '7538' quality_controlled: '1' scopus_import: '1' status: public title: Slow dynamics in translation-invariant quantum lattice models type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 97 year: '2018' ...