Topological photon pumping in quantum optical systems
arXiv:2404.05570 · doi:10.22331/q-2024-10-02-1488
Abstract
We establish the concept of topological pumping in one-dimensional systems with long-range couplings and apply it to the transport of a photon in quantum optical systems. In our theoretical investigation, we introduce an extended version of the Rice-Mele model with all-to-all couplings. By analyzing its properties, we identify the general conditions for topological pumping and theoretically and numerically demonstrate topologically protected and dispersionless transport of a photon on a one-dimensional emitter chain. As concrete examples, we investigate three different popular quantum optics platforms, namely Ryd\-berg atom lattices, dense lattices of atoms excited to low-lying electronic states, and atoms coupled to waveguides, using experimentally relevant parameters. We observe that despite the long-ranged character of the dipole-dipole interactions, topological pumping facilitates the transport of a photon with a fidelity per cycle which can reach 99.9\%. Moreover, we find that the photon pumping process remains topologically protected against local disorder in the coupling parameters.
16 pages, 9 figures
References in corpus (26)
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Logical quantum processor based on reconfigurable atom arrays
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
- Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
- Topological Pumping over a Photonic Fibonacci Quasicrystal
- Thouless pumping and topology
- On-Demand Entanglement of Molecules in a Reconfigurable Optical Tweezer Array
- Entanglement transport and a nanophotonic interface for atoms in optical tweezers
- Quantisation and its breakdown in a Hubbard-Thouless pump
- On the robustness of topological corner modes in photonic crystals
- Nanofiber-Based Double-Helix Dipole Trap for Cold Neutral Atoms
- Long-Lived Circular Rydberg Qubits of Alkaline-Earth Atoms in Optical Tweezers
- Interactions enable Thouless pumping in a nonsliding lattice
- Topological properties of Floquet winding bands in a photonic lattice
- Long-range hopping and indexing assumption in one-dimensional topological insulators
- Reversal of quantised Hall drifts at non-interacting and interacting topological boundaries
- Fast and efficient preparation of 1D chains and dense cold atomic clouds
- Topological pumping assisted by Bloch oscillations
- Systematic design of a robust half-W1 photonic crystal waveguide for interfacing slow light and trapped cold atoms
- A simple approach to characterizing band topology in bosonic pairing Hamiltonians
- Dispersionless subradiant photon storage in one-dimensional emitter chains
- Subradiant edge states in an atom chain with waveguide-mediated hopping
- Multiple polaritonic edge states in a Su-Schrieffer-Heeger chain strongly coupled to a multimode cavity