Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 36: Many-body Systems: Equilibration, Chaos and Localization II (joint session DY/TT)

TT 36.1: Vortrag

Mittwoch, 18. März 2020, 09:30–09:45, HÜL 186

Many-body dynamical localization in the kicked Bose-Hubbard chainMichele Fava1, Rosario Fazio2,3, and •Angelo Russomanno41Rudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, University of Oxford, Oxford OX1 3PU, UK — 2Abdus Salam ICTP, Strada Costiera 11, I-34151 Trieste, Italy — 3Dipartimento di Fisica, Universit\`a di Napoli "Federico II", Monte S. Angelo, I-80126 Napoli, Italy — 4Max-Planck-Institut f\"ur Physik Komplexer Systeme, N\"othnitzer Strasse 38, D-01187, Dresden, Germany

We show that a clean kicked Bose-Hubbard model exhibits a many-body dynamically localized phase. This phase shows ergodicity breaking and we can argue that this property persists in the large-size limit: the Floquet states violate eigenstate thermalization and then the asymptotic value of local observables depends on the initial state and is not thermal. This implies that the system does not generically heat up to infinite temperature, for almost all the initial states. Differently from many-body localization here the entanglement entropy linearly increases in time. This increase corresponds to space-delocalized Floquet states which are nevertheless localized across specific subsectors of the Hilbert space: In this way the system is prevented from randomly exploring all the Hilbert space and does not thermalize.

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