Second-order topological corner states with ultracold atoms carrying orbital angular momentum in optical lattices

Abstract

We propose a realization of a two-dimensional higher-order topological insulator with ultracold atoms loaded into orbital angular momentum (OAM) states of an optical lattice. The symmetries of the OAM states induce relative phases in the tunneling amplitudes that allow to describe the system in terms of two decoupled lattice models. Each of these models displays one-dimensional edge states and zero-dimensional corner states that are correlated with the topological properties of the bulk. We show that the topologically non-trivial regime can be explored in a wide range of experimentally feasible values of the parameters of the physical system. Furthermore, we propose an alternative way to characterize the second-order topological corner states based on the computation of the Zak's phases of the bands of first-order edge states.

References in corpus (15)

• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Novel Topological Phase with Zero Berry Curvature
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Quantum-gas microscopes - A new tool for cold-atom quantum simulators
• Versatile two-dimensional potentials for ultra-cold atoms
• Blue-detuned optical ring trap for Bose-Einstein condensates based on conical refraction
• p-band engineering in artificial electronic lattices
• Single atom edge-like states via quantum interference

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• Matryoshka approach to Sine-Cosine topological models
• Long-range hopping and indexing assumption in one-dimensional topological insulators
• Many-body Aharonov-Bohm caging in a lattice of rings
• Coherent phase slips in coupled matter-wave circuits
• Dirac cones and higher-order topology in quasi-continuous media
• Topological Corner States in Graphene by Bulk and Edge Engineering
• Tailoring higher-order topological phases via orbital hybridization
• Tunable symmetry-protected higher-order topological states with fermionic atoms in bilayer optical lattices
• Impurity flat band states in the diamond chain
• High-root topological edge-state bands
• Controlled acoustic-driven vortex transport in coupled superfluid rings
• Topological bound states in a lattice of rings with nearest-neighbour interactions