Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Many-body Systems: Equilibration, Chaos and Localization II (joint session DY/TT)

DY 31.1: Talk

Wednesday, March 18, 2020, 09:30–09:45, HÜL 186

Many-body dynamical localization in the kicked Bose-Hubbard chain — Michele Fava¹, Rosario Fazio^2,3, and •Angelo Russomanno⁴ — ¹Rudolf 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.