Hubbard models and state preparation in an optical Lieb lattice
arXiv:2101.03819 · doi:10.1088/1367-2630/abfd01
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.
arXiv comment10 pages, 8 figures
References in corpus (55)
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- Feshbach Resonances in Ultracold Gases
- Cold bosonic atoms in optical lattices
- The cold atom Hubbard toolbox
- Topological Bands for Ultracold Atoms
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Time-evolution methods for matrix-product states
- Artificial flat band systems: from lattice models to experiments
- High-temperature surface superconductivity in topological flat-band systems
- Aharonov-Bohm cages in two-dimensional structures
- Exponential localization of Wannier functions in insulators
- Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice
- Geometric origin of superfluidity in the Lieb lattice flat band
- Flat bands in topological media
- Floquet Fractional Chern Insulator in Doped Graphene
- Artificial gauge fields in materials and engineered systems
- Exotic electronic states in the world of flat bands: from theory to material
- Bose condensation in flat bands
- Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
- Reaching Fractional Quantum Hall States with Optical Flux Lattices
- Artificial graphene with tunable interactions
- Time evolution algorithms for Matrix Product States and DMRG
- Observation of localized flat-band modes in a quasi-one-dimensional photonic rhombic lattice
- Quantum metric and effective mass of a two-body bound state in a flat band
- Effective theory and emergent symmetry in the flat bands of attractive Hubbard models
- Hofstadter butterflies for flat bands
- Quantum state engineering of a Hubbard system with ultracold fermions
- Preformed pairs in flat Bloch bands
- Correlated phases of bosons in the flat lowest band of the dice lattice
- Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands
- Geometry induced pair condensation
- State-dependent optical lattices for the strontium optical qubit
- Experimental Performance of a Quantum Simulator: Optimizing Adiabatic Evolution and Identifying Many-Body Ground States
- Topological Varma superfluid in optical lattices
- Ab initio derivation of Hubbard models for cold atoms in optical lattices
- Optimal decay of Wannier functions in Chern and Quantum Hall insulators
- p Orbital flat band and Dirac cone in the electronic honeycomb lattice
- Flat band superconductivity in the square-octagon lattice
- The role of real-space micromotion for bosonic and fermionic Floquet fractional Chern insulators
- Quenched dynamics and spin-charge separation in an interacting topological lattice
- Topological transitions of interacting bosons in one-dimensional bi-chromatic optical lattices
- Interacting spinless fermions in a diamond chain
- Density-dependent synthetic magnetism for ultracold atoms in optical lattices
- Strain induced superconductor-insulator transition on Lieb lattice
- Hidden order and symmetry protected topological states in quantum link ladders
- Understanding repulsively mediated superconductivity of correlated electrons via massively parallel DMRG
- Conductance through geometrically frustrated itinerant electronic systems
- Engineered Open Systems and Quantum Simulations with Atoms and Ions
- Frustration-induced supersolids in the absence of inter-site interactions
- Spin-Imbalanced Fermi Superfluidity in a Lieb Lattice Hubbard Model
- Enhanced repulsively bound atom pairs in topological optical lattice ladders
- Topological phases of lattice bosons with a dynamical gauge field
- Tunable Flux Vortices in 2D Dirac Superconductors