Topological photon pumping in quantum optical systems

Year: 2024

Authors: Svendsen M.B.M., Cech M., Schemmer M., Olmos B.

Autors Affiliation: Univ Tubingen, Inst Theoret Phys, Morgenstelle 14, D-72076 Tubingen, Germany; Ist Nazl Ottica Consiglio Nazl Ric CNR INO, I-50019 Sesto Fiorentino, Italy; Univ Firenze, European Lab Nonlinear Spect LENS, I-50019 Sesto Fiorentino, Italy.

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 Rydb erg 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.

Journal/Review: QUANTUM

Volume: 8      Pages from: arXiv240405570v  to: arXiv240405570v

More Information: M.S. thanks I.B. Spielman & H.-I Lu for their introduction to the topic of topological charge pumps. M.S. acknowledges support by Young Researcher Grant MajorSuperQ MSCA 0000048. The authors acknowledge support by the state of Baden-Wuerttemberg through bwHPC and the German Research Foundation (DFG) through grant no INST 40/575-1 FUGG (JUSTUS 2 cluster) . We acknowledge support by Open Access Publishing Fund of University of Tubingen. The research leading to these results has received funding from the Deutsche Forschungsgemeinsschaft (DFG, German Research Foundation) under Project No. 452935230 and the Research Units FOR 5413/1, Grant No. 465199066 and FOR 5522/1, Grant No. 499180199.
KeyWords: Phase; Transport; Cavity; Atoms
DOI: 10.22331/q-2024-10-02-1488