Year: 2021
Type: article
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.
Source: New Journal of Physics
Authors: S Flannigan, L Madail, R G Dias, A J Daley
Institutions: University of Strathclyde, University of Aveiro
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,195
Awards: G1044167333, G1152344396, G1523888516, G1849693575, Instituto de Nanoestruturas, Nanomodelação e Nanofabricação, G3045592441, Designing Out-of-Equilibrium Many-Body Quantum Systems, Instituto de Nanoestruturas, Nanomodelação e Nanofabricação, G5454278309, G5650066002, G5949655398, G6280310554, G6689169061, G6930418908, G7260508459, G7576918629, G7650342819, Dinâmicas quânticas e transporte quântico, Programmable Atomic Large-Scale Quantum Simulation, G8911869519, G899235810
OpenAlex ID: W3119858860