We show that a one-dimensional Hubbard model with all-to-all coupling may exhibit many-body localization in the presence of local disorder. We numerically identify the parameter space where many-body localization occurs using exact diagonalization and finite-size scaling. The time evolution from a random initial state exhibits features consistent with the localization picture. The dynamics can be observed with quantum gases in optical cavities, localization can be revealed through the time-dependent dynamics of the light emitted by the resonator.
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- 1 Uniwersytet Jagielloński / Jagiellonian University
- 2 Universität des Saarlandes / Saarland University
- Bundesministerium für Bildung und Forschung / Federal Ministry of Education and Research [BMBF]
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- European Commission [EC]
- H2020 Future and Emerging Technologies (FET) (through Organization: European Commission [EC])
- Narodowe Centrum Nauki / National Science Center [NCN]