Topological edge states in a Rydberg composite
arXiv:2309.03039 · doi:10.1103/PhysRevB.109.075422
Abstract
We examine topological phases and symmetry-protected electronic edge states in the context of a Rydberg composite: a Rydberg atom interfaced with a structured arrangement of ground-state atoms. The electronic Hamiltonian of such a composite possesses a direct mapping to a tight-binding Hamiltonian, which enables the realization and study of a variety of systems with non-trivial topology by tuning the arrangement of ground-state atoms and the excitation of the Rydberg atom. The Rydberg electron moves in a combined potential including the long-ranged Coulomb interaction with the Rydberg core and short-ranged interactions with each neutral atom; the effective interactions between sites are determined by this combination. We first confirm the existence of topologically-protected edge states in a Rydberg composite by mapping it to the paradigmatic Su-Schrieffer-Heeger dimer model. Following that, we study more complicated systems with trimer unit cells which can be easily simulated with a Rydberg composite.
arXiv comment5 pages, 4 figures
References in corpus (43)
- Supersymmetry and Quantum Mechanics
- Topological States and Adiabatic Pumping in Quasicrystals
- Observation of phononic helical edge states in a mechanical 'topological insulator'
- Topological Boundary Modes in Isostatic Lattices
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Three-Dimensional Topological Insulators
- Topological Thouless Pumping of Ultracold Fermions
- Observation of topologically protected bound states in a one dimensional photonic system
- Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Topological Hybrid Silicon Microlasers
- Topological modes bound to dislocations in mechanical metamaterials
- Time Reversal Invariant Topologically Insulating Circuits
- Topological properties of linear circuit lattices
- Topologically Robust Transport of Photons in a Synthetic Gauge Field
- Topological Pumping over a Photonic Fibonacci Quasicrystal
- Quantum phases of Rydberg atoms on a kagome lattice
- Creation of Rydberg Polarons in a Bose Gas
- Edge states in trimer lattices
- Ultracold atom-electron interaction: from two to many-body physics
- Topological tight-binding models from non-trivial square roots
- Realizing Su-Schrieffer-Heeger topological edge states in Rydberg-atom synthetic dimensions
- Dark state optical lattice with sub-wavelength spatial structure
- Observation of edge solitons in topological trimer arrays
- Nano-Scale `Dark State' Optical Potentials for Cold Atoms
- Dynamic optical lattices of sub-wavelength spacing for ultracold atoms
- Topologically protected excitons in porphyrin thin films
- Super-resolution microscopy of cold atoms in an optical lattice
- Emergent gauge theories and topological excitations in Rydberg atom arrays
- Trilobites, butterflies, and other exotic specimens of long-range Rydberg molecules
- A Wavefunction Microscope for Ultracold Atoms
- Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
- Realization of a fractional period adiabatic superlattice
- Ultracold molecular Rydberg physics in a high density environment
- Realization of a stroboscopic optical lattice for cold atoms with subwavelength spacing
- Creation and annihilation of mobile fractional solitons in atomic chains
- Quantum Hall states for Rydberg atoms with laser-assisted dipole-dipole interactions
- Non-trivial topology of the quasi-one-dimensional triplons in the quantum antiferromagnet
- Rydberg Composites
- Dynamical decoupling and dynamical isolation in temporally modulated coupled pendulums
- Delocalization of edge states in topological phases
- Ring Rydberg Composites