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Apparent slow dynamics in the ergodic phase of a driven many-body localized system without extensive conserved quantities
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany..
Indian Inst Technol, Dept Phys, Mumbai 400076, Maharashtra, India..
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory. Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany..ORCID iD: 0000-0003-3328-8525
2019 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 99, no 16, article id 161106Article in journal (Refereed) Published
Abstract [en]

We numerically study the dynamics on the ergodic side of the many-body localization transition in a periodically driven Floquet model with no global conservation laws. We describe and employ a numerical technique based on the fast Walsh-Hadamard transform that allows us to perform an exact time evolution for large systems and long times. As in models with conserved quantities (e.g., energy and/or particle number) we observe a slowing down of the dynamics as the transition into the many-body localized phase is approached. More specifically, our data are consistent with a subballistic spread of entanglement and a stretched-exponential decay of an autocorrelation function, with their associated exponents reflecting slow dynamics near the transition for a fixed system size. However, with access to larger system sizes, we observe a clear flow of the exponents towards faster dynamics and cannot rule out that the slow dynamics is a finite-size effect. Furthermore, we observe examples of nonmonotonic dependence of the exponents with time, with the dynamics initially slowing down but accelerating again at even larger times, consistent with the slow dynamics being a crossover phenomenon with a localized critical point.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2019. Vol. 99, no 16, article id 161106
Keywords [en]
UTSCH JM, 1991, PHYSICAL REVIEW A, V43, P2046 gol Marcos, 2008, NATURE, V452, P854 rnyi IV, 2005, PHYSICAL REVIEW LETTERS, V95, osen Tomaz, 2007, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICALSchool and Workshop on Theory and Technology in Quantum Information, Communication, Computation and Cryptography, JUN 12-23, 2006, Trieste, ITALY, V40, P7881 isse A, 2006, REVIEWS OF MODERN PHYSICS, V78, P275 tos X, 1997, PHYSICAL REVIEW B, V55, P11029
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Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-249784DOI: 10.1103/PhysRevB.99.161106ISI: 000463888700002Scopus ID: 2-s2.0-85064130532OAI: oai:DiVA.org:kth-249784DiVA, id: diva2:1307628
Note

QC 20190429

Available from: 2019-04-29 Created: 2019-04-29 Last updated: 2019-04-29Bibliographically approved

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Bardarson, Jens H.

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