Kibble-Zurek scaling with Matrix product states

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    Abstract

    We study the dynamics of second-order phase transitions that may have taken place in the early universe and analyze the Kibble-Zurek (KZ) scaling as well as the formation of topological defects emerging from a quench in the one-dimensional Bose-Hubbard model. We describe the universal dynamics of the KZ mechanism (KZM) and the topological defect formation by simulating the Bose–Hubbard model at zero temperature. We study the effects of thermalization on the ground state by analyzing the transition between Mott and superfluid phases. The out-of-equilibrium dynamics induced by a quench of the hopping parameter is presented. We find a KZ scaling behaviour at zero temperature and analyze the KZ dynamics.
    Original languageEnglish
    Article number012012
    Pages (from-to)1-6
    Number of pages6
    JournalIOP Conference Series: Materials Science and Engineering
    Volume947
    Issue number1
    DOIs
    Publication statusPublished - Oct 2020

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