Interacting bosons in topological optical flux lattices

Abstract

An interesting route to the realization of topological Chern bands in ultracold atomic gases is through the use of optical flux lattices. These models differ from the tight-binding real-space lattice models of Chern insulators that are conventionally studied in solid-state contexts. Instead, they involve the coherent coupling of internal atomic (spin) states, and can be viewed as tight-binding models in reciprocal space. By changing the form of the coupling and the number $N$ of internal spin states, they give rise to Chern bands with controllable Chern number and with nearly flat energy dispersion. We investigate in detail how interactions between bosons occupying these bands can lead to the emergence of fractional quantum Hall states, such as the Laughlin and Moore-Read states. In order to test the experimental realization of these phases, we study their stability with respect to band dispersion and band mixing. We also probe novel topological phases that emerge in these systems when the Chern number is greater than 1.

arXiv comment14 pages, 19 figures

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• Topological Bands for Ultracold Atoms
• Periodically-driven quantum matter: the case of resonant modulations
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Realizing and Adiabatically Preparing Bosonic Integer and Fractional Quantum Hall states in Optical Lattices
• Topological bands with Chern number C=2 by dipolar exchange interactions
• Precursor of Laughlin state of hard core bosons on a two leg ladder
• Driven dissipative dynamics and topology of quantum impurity systems
• Bosonic integer quantum Hall effect in optical flux lattices
• Recent Developments in Fractional Chern Insulators
• Characterization of quasiholes in fractional Chern insulators
• Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
• Coupled Atomic Wires in a Synthetic Magnetic Field
• SU(N) fractional quantum Hall effects in topological flat bands
• Multi-faceted machine learning of competing orders in disordered interacting systems
• Topological characterization of hierarchical fractional quantum Hall effects in topological flat bands with SU($N$) symmetry
• Snapshot-based detection of $\frac{1}{2}$-Laughlin states: coupled chains and central charge
• Fibonacci anyon excitations of one-dimensional dipolar lattice bosons
• Lattice Laughlin states on the torus from conformal field theory
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Synthetic Gauge Fields for Lattices with Multi-Orbital Unit Cells: Routes towards a $\pi$-flux Dice Lattice with Flat Bands
• Pfaffian-like ground states for bosonic atoms and molecules in one-dimensional optical lattices
• Quasi-one-dimensional Hall physics in the Harper-Hofstadter-Mott model
• Ferromagnetic--nematic order and strongly correlated phases of fermions in optical flux lattices