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arXiv · 2404.05570

Topological photon pumping in quantum optical systems

Mathias B. M. Svendsen·Marcel Cech·Max Schemmer·Beatriz Olmos
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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.

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quant-phphysics.atom-phphysics.optics

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Mathias B. M. Svendsen, Marcel Cech, Max Schemmer, Beatriz Olmos. 2024-04-08. Topological photon pumping in quantum optical systems. https://doi.org/10.22331/q-2024-10-02-1488

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