Hybrid interfaces between distinct quantum systems play a major role in the implementation of quantum networks. Quantum states have to be stored in memories to synchronize the photon arrival times for entanglement swapping by projective measurements in quantum repeaters or for entanglement purification. Here, we analyze the distortion of a single-photon wave packet propagating through a dispersive and absorptive medium with high spectral resolution. Single photons are generated from a single In(Ga)As quantum dot with its excitonic transition precisely set relative to the Cesium D1 transition. The delay of spectral components of the single-photon wave packet with almost Fourier-limited width is investigated in detail with a 200 MHz narrow-band monolithic Fabry-Pérot resonator. Reflecting the excited state hyperfine structure of Cesium, "slow light" and "fast light" behavior is observed. As a step towards room-temperature alkali vapor memories, quantum dot photons are delayed for 5 ns by strong dispersion between the two 1.17 GHz hyperfine-split excited state transitions. Based on optical pumping on the hyperfine-split ground states, we propose a simple, all-optically controllable delay for synchronization of heralded narrow-band photons in a quantum network.

CEITEC Brno University of Technology 621 00 Brno Czech Republic

Department of Physics Humboldt Universität zu Berlin 12489 Berlin Germany

Department of Physics Sapienza University of Rome 00185 Rome Italy

Department of Physics University of Basel 4056 Basel Switzerland

Deutsches Zentrum für Luft und Raumfahrt e 5 Institute of Optical Sensor Systems 12489 Berlin Germany

Institute for Integrative Nanosciences Leibniz IFW Dresden 01069 Dresden Germany

Institute of Semiconductor and Solid State Physics Johannes Kepler Universität Linz 4040 Linz Austria

Institute of Solid State Physics Technische Universität Berlin 10623 Berlin Germany

Paul Drude Institut für Festkörperelektronik 10117 Berlin Germany

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