Two dimensional sub-wavelength topological dark state lattices

Abstract

We present a general framework for engineering two-dimensional (2D) sub-wavelength topological optical lattices using spatially dependent atomic dark states in a $\Lambda$-type configuration of the atom-light coupling. By properly designing the spatial profiles of the laser fields inducing coupling between the atomic internal states, we show how to generate sub-wavelength Kronig-Penney-like geometric scalar potential accompanied by narrow and strong patches of the synthetic magnetic field localized in the same areas as the scalar potential. These sharply peaked magnetic fluxes are compensated by a smooth background magnetic field of opposite sign, resulting in zero net flux per unit cell while still enabling topologically nontrivial band structures. Specifically, for sufficiently narrow peaks, their influence is minimum, and the behavior of the system in a remaining smooth background magnetic field resembles the Landau problem, allowing for the formation of nearly flat energy bands with unit Chern numbers. Numerical analysis confirms the existence of ideal Chern bands and the robustness of the topological phases against non-adiabatic effects and losses. This makes the scheme well-suited for simulating quantum Hall systems and fractional Chern insulators in ultracold atomic gases, offering a new platform for exploring strongly correlated topological phases with high tunability.

Published version, 12 pages, 8 figures

References in corpus (35)

• Topological Insulators
• Topological insulators and superconductors
• Many-Body Physics with Ultracold Gases
• Topological Photonics
• Classification of topological quantum matter with symmetries
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Artificial gauge potentials for neutral atoms
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Light-induced gauge fields for ultracold atoms
• Topological Bands for Ultracold Atoms
• Stimulated Raman adiabatic passage in physics, chemistry and beyond
• Topological acoustics
• Tools for quantum simulation with ultracold atoms in optical lattices
• Non-standard Hubbard models in optical lattices: a review
• Optical skyrmions and other topological quasiparticles of light
• Artificial gauge fields in materials and engineered systems
• Exact Landau Level Description of Geometry and Interaction in a Flatband
• Optical Flux Lattices for Ultracold Atomic Gases
• Reaching Fractional Quantum Hall States with Optical Flux Lattices
• Realization of a fractional quantum Hall state with ultracold atoms
• Vortexability: A Unifying Criterion for Ideal Fractional Chern Insulators
• Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta
• Dark state optical lattice with sub-wavelength spatial structure
• Nano-Scale `Dark State' Optical Potentials for Cold Atoms
• Artificial gauge fields with ultracold atoms
• Ideal Chern bands are Landau levels in curved space
• One- and two-axis squeezing via laser coupling in an atomic Fermi-Hubbard model
• Subwavelength-width optical tunnel junctions for ultracold atoms
• Realization of a stroboscopic optical lattice for cold atoms with subwavelength spacing
• Effective magnetic fields induced by EIT in ultra-cold atomic gases
• Flux lattices reformulated
• Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals
• Dark-State Optical Potential Barriers with Nanoscale Spacing
• Interference induced anisotropy in a two-dimensional dark state optical lattice
• Light-induced localized vortices in multicomponent Bose-Einstein condensates