Hubbard models and state preparation in an optical Lieb lattice

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 ex...

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Bibliographic Details
Published in:New journal of physics 2021-08, Vol.23 (8), p.83014
Main Authors: Flannigan, S, Madail, L, Dias, R G, Daley, A J
Format: Article
Language:English
Subjects:
Atoms & subatomic particles
Boundary conditions
Cold
Cold atoms
Energy
Experiments
flat band
Hubbard model
Lasers
optical lattice
Phases
Physics
quantum gases
quantum ladder system
strongly correlated system
topological band structure
Two dimensional bodies
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Summary: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.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/abfd01