Michailidis, AlexiosIST Austria; Žnidarič, Marko; Medvedyeva, Mariya; Abanin, Dmitry; Prosen, Tomaž; Papić, Zlatko
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.
Physical Review B
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.).
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
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
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.
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.
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.
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.