Slow dynamics in translation-invariant quantum lattice models

Michailidis, Alexios A. (author), Žnidarič, Marko (author), Medvedyeva, Mariya V. (author), Abanin, Dmitry A. (author), Prosen, Tomaž (author), Papić, Z. (author)

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.

• Language: English
• Keywords: quantum mechanics, statistical physics
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2018
• Number of pages: Str. 104307-1-104307-10
• Numbering: Vol. 97, iss. 10
• PID: 20.500.12556/RUL-100569
• UDC: 536.93
• ISSN on article: 2469-9950
• DOI: 10.1103/PhysRevB.97.104307
• COBISS.SI-ID: 3185508
• Publication date in RUL: 29.03.2018

Record is a part of a journal

• Title: Physical review
• Publisher: American Physical Society
• ISSN: 2469-9950
• COBISS.SI-ID: 2997348

Secondary language

• Language: Slovenian
• Keywords: kvantna mehanika, statistična fizika

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open many-body non-equilibrium systems
• Acronym: OMNES