Nucleation of Ergodicity by a Single Mobile Impurity in Supercooled Insulators

Article Article scientifique Article Nucleation of Ergodicity by a Single Mobile Impurity in Supercooled Insulators eng 2021-01-21 2021-01-21 author Krause Ulrich 0000-0002-5705-6027 author Pellegrin-Frachon Théo 904463 author Brouwer Piet W. author Abanin Dmitry 842597 author Filippone Michele 0000-0003-1102-8335 861103 030603 10.1103/PhysRevLett.126.030603 33543943 0031-9007 1911.11711 https://link.aps.org/doi/10.1103/PhysRevLett.126.030603 We consider a disordered Hubbard model and show that, at sufficiently weak disorder, a single spin- down mobile impurity can thermalize an extensive initially localized system of spin-up particles. Thermalization is enabled by resonant processes that involve correlated hops of the impurity and localized particles. This effect indicates that Anderson localized insulators behave as “supercooled” systems, with mobile impurities acting as ergodic seeds. We provide analytical estimates, supported by numerical exact diagonalization, showing how the critical disorder strength for such mechanism depends on the particle density of the localized system. In the U → ∞ limit, doublons are stable excitations, and they can thermalize mesoscopic systems by a similar mechanism. The emergence of an additional conservation law leads to an eventual localization of doublons. Our predictions apply to fermionic and bosonic systems and are readily accessible in ongoing experiments simulating synthetic quantum lattices with tunable disorder. Dewey 500.2 Swiss National Science Foundation Dynamics of strongly correlated quantum systems and devices PZ00P2_174038 CH Careers 33 Département de physique de la matière quantique 131 37 Département de physique théorique 133 false 967 Groupe Abanin 780 Groupe Giamarchi Physical review letters 126 1504ef5c-17c1-4c89-8248-df80eb152867 Article (Published version) Public Krause-2021.pdf 2992455 application/pdf openAccess Faculté des sciences / Section de physique / Département de physique de la matière quantique Faculté des sciences / Section de physique / Département de physique théorique

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Nucleation of Ergodicity by a Single Mobile Impurity in Supercooled Insulators	Physical review letters			2021	375	186

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Pellegrin-Frachon, Théo