Neutral atoms are ideal objects for the deterministic processing of quantum information. Entanglement operations have been carried out by photon exchange1 or controlled collisions2, and atom–photon interfaces have been realized with single atoms in free space3,4 or strongly coupled to an optical cavity5,6. A long-standing challenge with neutral atoms, however, is to overcome the limited observation time. Without exception, quantum effects appeared only after ensemble averaging. Here, we report on a single-photon source with one, and only one, atom quasi-permanently coupled to a high-finesse cavity. ‘Quasi-permanent’ refers to our ability to keep the atom long enough to, first, quantify the photon-emission statistics and, second, guarantee the subsequent performance as a single-photon server delivering up to 300,000 photons for up to 30 s. This is achieved by a unique combination of single-photon generation and atom cooling7,8,9. Our scheme brings deterministic protocols of quantum information science with light and matter10,11,12,13,14,15,16 closer to realization.
Deterministic single-photon sources are of prime importance in quantum information science17. Such sources have been realized with neutral atoms, embedded molecules, trapped ions, quantum dots and defect centres18. All of these sources are suitable for applications where the indivisibility of the emitted light pulses is essential. For quantum computing or quantum networking, the emitted photons must also be indistinguishable. Such photons have so far only been produced with quantum dots19 and atoms20,21. Another requirement is a high efficiency. This is hard to obtain in free space, as the light-collecting lens covers only a fraction of the full 4π solid angle. The efficiency can be boosted by strongly coupling the radiating object to an optical microcavity, as has been achieved with atoms5,6 and quantum dots22. An additional advantage of the cavity is that a vacuum-stimulated Raman adiabatic passage can be driven in a multilevel atom6,23,24. In this way, the amplitude5,24, frequency20 and polarization25 of the photon can be controlled. It should also be possible to combine partial photon production with internal atomic rotations for the construction of entangled photon states such as W and GHZ states15.
All of these demands together have so far only been achieved with atoms in high-finesse microcavities. One reason is that neutral atoms are largely immune to perturbations, such as electric patch fields close to dielectric mirrors. However, atomic systems have always suffered from a fast atom loss. We have now implemented a cavity-based scheme, see Fig. 1, with a dipole laser for trapping, a trigger laser for photon generation and a recycling laser for repumping, monitoring and cooling the atom8,9. The scheme combines high photon-generation efficiency and long trapping times. The most remarkable features are, first, that the single-photon stream is specified by its intensity correlation function evaluated in real-time during a short time interval after system preparation and, second, that its subsequent performance is guaranteed by monitoring the atom without perturbing the single-photon stream. This makes our single-photon source a useful quantum device operating with just one atom.
The main parts of the apparatus are described elsewhere8,26, but changes were made to allow for single-photon generation and detection in combination with atom cooling. In short, 85Rb atoms are collected from a background vapour in a magneto-optical trap, loaded into a running-wave dipole trap (wavelength 1,032 nm) and transferred into the optical high-finesse cavity. On arrival, a few atoms are captured by switching the geometry of the dipole trap to a standing wave and turning on 780-nm lasers perpendicular to the cavity axis for three-dimensional cavity cooling8. The cavity has a length of 0.5 mm, a mode waist of 29 μm and a finesse of 3×104. The relevant parameters are (g,κ,γ) = 2π×(5,5,3) MHz, where g is the maximum atom–cavity coupling constant on the F=2→F′=3 transition between the atomic 5S1/2 ground and 5P3/2 excited state, κ is the cavity-field decay rate and γ is the atomic dipole decay rate. One of the cavity mirrors has a 50 times higher transmittance than the other. Photons scattered into the cavity by the trapped atom and emitted through this output mirror are spectrally and spatially filtered from the light of a cavity-stabilization laser at 785 nm and stray light, respectively, by means of cascaded glass prisms in combination with interference filters and pinholes. Finally, the photons are counted by two avalanche photodiodes. The combined background count rate due to stray light and dark counts is 84 Hz.
Figure 2 shows the three-level system that enables single-photon production and atom cooling. Starting with a single atom in the F=3 ground state, a trigger pulse together with the cavity drives a vacuum-stimulated Raman adiabatic passage23,27 into the F=2 ground state (see Fig. 2a). This generates a single photon that is emitted from the cavity. Next, the atom is pumped back to the initial F=3 state with a recycling laser resonant with the cavity (see Fig. 2b). During this recycling process, the atom can scatter many photons into the cavity. To understand the scattering process in more detail, the kB×1.5 mK deep dipole trap has to be taken into account (kB is Boltzmann’s constant). The trap shifts the atomic resonances by ΔS≈2π×70 MHz, the dynamic Stark shift. As shown in Fig. 2a,b, all of the lasers and the cavity are not resonant with the atom. This has little consequence for the photon production in the Raman process as both ground states experience the same shift. For the recycling laser, however, it creates a situation similar to one described earlier, with a strong Sisyphus-like cooling force8,9. This occurs even though the atomic transition used is not closed so that cooling takes place only as long as the atom cycles between the ground and excited state. Note that full three-dimensional cavity cooling is used only for the initial trapping of the atom. Here, both the trigger laser (now acting as a repumper) and the recycling laser are turned on continuously. This can keep the atom in the cavity for up to 1 min.
While applying the photon-production and recycling pulses, atoms stay in the cavity for 10.3(1) s on average, as determined from 526 experimental runs. This is about twice as long as in the dark dipole-force trap. Taking into account that initially several atoms are trapped and that we have to wait until all but one of the atoms have escaped the cavity, this gives 4,379 s of single-atom data with 4.23×106 detection events during trigger pulses, of which 0.15×106 are background detections. Single atoms are available for single-photon production for 8.3(2) s on average. For a trigger rate of 100 kHz, the overall photon generation, propagation and detection probability then amounts to 0.93%. This includes 50% cavity absorption loss mainly due to a mirror defect, 52% propagation loss from the cavity to the detectors and 44% quantum efficiency of the detectors. The photon-generation probability is therefore 9%. The finite efficiency is attributed to the large number of Zeeman states, some of them exhibiting a small (for example, g=2π×1.4 MHz) atom–cavity coupling constant. In addition, because the coupling constant and the dynamic Stark shift are position dependent, the residual motion of the atom in the trap may play a role.
We calculate the cross-correlation of the recorded photon stream binned over 4-μs-long intervals corresponding to the trigger pulses (discarding detection events outside the trigger pulse). Summed over the 526 runs, this gives 1.2×104 correlations on average for each time bin. This gives 22 correlations per atom per bin. For a pulsed light source, correlations appear periodic with the repetition rate. For single photons equal-time coincidences do not occur. This absence of correlations at Δτ=0 is referred to as antibunching. The measured antibunching visibility averaged over the 526 runs is 94.0%.
The large number of correlations observed per atom and the large visibility of the antibunching suggests the following measurement protocol for single-atom operation, see Fig. 3. First, the system is initialized by trapping a few atoms and monitoring the light level emitted from the cavity during recycling pulses. When this level reaches a value expected for one atom (4 photons ms−1 on average), the photons emitted during trigger pulses within the next 1.5 s are recorded and the cross-correlation of the (binned) photon stream is calculated, see Fig. 3a, left inset. Next, the data are tested against the selection rule that the average number of correlations for non-zero time differences must exceed 1.5 (to make sure that at least one atom is trapped, leading to four correlations on average) and that correlations at zero time difference must not exceed 30% of this average. The latter condition makes sure that not more than one atom is trapped, a conclusion that in our experiment cannot be obtained from the scattering rate alone, as two (or more) weakly coupled atoms could produce the same fluorescence signal as one strongly coupled atom. We find that 86% of all 526 runs pass such a test. This leaves 454 runs with 3,774 s of true single-photon data with on average 1.0×104 correlations at non-zero time difference and 534 coincidences at zero time difference. From our background count rate, we would expect 587(24) coincidences of a photon click with a background click. The measured antibunching with its visibility of 94.6% is therefore entirely limited by dark counts and stray light.
A single-atom source that passed the described selection procedure therefore emits a high-quality stream of single photons. A user of the photons can be notified and the photons redirected as needed. While this is done, the presence of the atom is monitored by detecting the light emitted during the recycling pulses. A loss of the atom manifests itself by the absence of scattered photons that can be detected within ∼30 ms with 98% probability. In the right inset of Fig. 3a, the photon correlation function is plotted for those photons that would have been sent to the user. For comparison, the correlation function for all 454 runs is shown in Fig. 3b. The correlation signal obtained for one-and-the-same atom clearly shows the antibunching that is otherwise observed only after averaging over an ensemble of single atoms. Note that in contrast to all previous single-atom experiments, the single-atom nature of our system is obtained from a non-classical correlation signal, not a classical average of the emitted photon stream. This unambiguously discriminates a single atom from several atoms.
In summary, our atom–cavity system has progressed from a proof-of-principle single-photon source to a useful device whose performance is specified during operation. The quasi-permanent availability of exactly one atom, the high efficiency of photon production in a well-defined light mode and the large duty cycle of the whole measurement sequence paves the way for deterministic atom–photon and atom–atom entanglement experiments such as a test of Bell’s inequality with distant atoms.
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This work was supported by the Deutsche Forschungsgemeinschaft (SFB 631 and Research Unit 635) and the European Union (IST (SCALA) and IHP (CONQUEST) programs).
The authors declare no competing financial interests.
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Hijlkema, M., Weber, B., Specht, H. et al. A single-photon server with just one atom. Nature Phys 3, 253–255 (2007). https://doi.org/10.1038/nphys569
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