Hubbard models and state preparation in an optical Lieb lattice

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Flannigan, S and Madail, L and Dias, R G and Daley, A J (2021) Hubbard models and state preparation in an optical Lieb lattice. New Journal of Physics, 23 (8). 083014. ISSN 1367-2630 (https://doi.org/10.1088/1367-2630/abfd01)

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Abstract

Inspired by the growing interest in probing many-body phases in novel two-dimensional lattice geometries we investigate the properties of cold atoms as they could be observed in an optical Lieb lattice. We begin by computing Wannier functions localised at individual sites for a realistic experimental setup, and determining coefficients for a Hubbard-like model. Based on this, we show how experiments could probe the robustness of edge states in a Lieb lattice with diagonal boundary conditions to the effects of interactions and realise strongly correlated many-body phases in this geometry. We then generalise this to interacting particles in a half-filled 1D Lieb ladder, where excitations are dominated by flat band states. We show that for strong attractive interactions, pair correlations are enhanced even when there is strong mixing with the Dirac cone. These findings in 1D raise interesting questions about the phases in the full 2D Lieb lattice which we show can be explored in current experiments.

ORCID iDs

Flannigan, S, Madail, L, Dias, R G and Daley, A J ORCID logoORCID: https://orcid.org/0000-0001-9005-7761;
  • Item type:Article
    ID code:76304
    Dates:
    Date
    Event
    9 August 2021
    Published
    29 April 2021
    Published Online
    29 April 2021
    Accepted
    11 January 2021
    Submitted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:04 May 2021 13:39
    Last modified:11 Nov 2024 13:04
    URI:https://strathprints.strath.ac.uk/id/eprint/76304
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