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Antibunching of microwave-frequency photons observed in correlation measurements using linear detectors

Nature Physics volume 7, pages 154–158 (2011)Cite this article

Abstract

At optical frequencies the radiation produced by a source, such as a laser, a black body or a single-photon emitter, is frequently characterized by analysing the temporal correlations of emitted photons using single-photon counters. At microwave frequencies, however, there are no efficient single-photon counters yet. Instead, well-developed linear amplifiers allow for efficient measurement of the amplitude of an electromagnetic field. Here, we demonstrate first- and second-order correlation function measurements of a pulsed microwave-frequency single-photon source integrated on the same chip with a 50/50 beam splitter followed by linear amplifiers and quadrature amplitude detectors. We clearly observe single-photon coherence in first-order and photon antibunching in second-order correlation function measurements of the propagating fields.

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Figure 1: Sample and schematic of the experimental set-up.
Figure 2: Quadrature amplitude and cross-power measurements.
Figure 3: Correlation function measurements.

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References

  1. Walls, D. & Milburn, G. Quantum Optics (Spinger, 1994).

    Book  Google Scholar 

  2. Caves, C. M. Quantum limits on noise in linear amplifiers. Phys. Rev. D 26, 1817–1839 (1982).

    Article  ADS  Google Scholar 

  3. Houck, A. et al. Generating single microwave photons in a circuit. Nature 449, 328–331 (2007).

    Article  ADS  Google Scholar 

  4. Pozar, D. M. Microwave Engineering (Addison-Wesley, 1993).

    Google Scholar 

  5. Gabelli, J. et al. Hanbury Brown–Twiss correlations to probe the population statistics of GHz photons emitted by conductors. Phys. Rev. Lett. 93, 056801 (2004).

    Article  ADS  Google Scholar 

  6. Mariantoni, M. et al. Planck spectroscopy and quantum noise of microwave beam splitters. Phys. Rev. Lett. 105, 133601 (2010).

    Article  ADS  Google Scholar 

  7. Menzel, E. P. et al. Dual-path state reconstruction scheme for propagating quantum microwaves and detector noise tomography. Phys. Rev. Lett. 105, 100401 (2010).

    Article  ADS  Google Scholar 

  8. Koch, J. et al. Charge-insensitive qubit design derived from the Cooper pair box. Phys. Rev. A 76, 042319 (2007).

    Article  ADS  Google Scholar 

  9. Wallraff, A. et al. Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics. Nature 431, 162–167 (2004).

    Article  ADS  Google Scholar 

  10. Bianchetti, R. et al. Dynamics of dispersive single-qubit readout in circuit quantum electrodynamics. Phys. Rev. A 80, 043840 (2009).

    Article  ADS  Google Scholar 

  11. Hofheinz, M. et al. Synthesizing arbitrary quantum states in a superconducting resonator. Nature 459, 546–549 (2009).

    Article  ADS  Google Scholar 

  12. Deleglise, S. et al. Reconstruction of non-classical cavity field states with snapshots of their decoherence. Nature 455, 510–514 (2008).

    Article  ADS  Google Scholar 

  13. Mandel, L. & Wolf, E. Optical Coherence and Quantum Optics (Cambridge Univ. Press, 1995).

    Book  Google Scholar 

  14. da Silva, M. P., Bozyigit, D., Wallraff, A. & Blais, A. Schemes for the observation of photon correlation functions in circuit QED with linear detectors. Phys. Rev. A 82, 043804 (2010).

    Article  ADS  Google Scholar 

  15. Gardiner, C. W. & Collett, M. J. Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation. Phys. Rev. A 31, 3761–3774 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  16. Grosse, N. B., Symul, T., Stobinska, M., Ralph, T. C. & Lam, P. K. Measuring photon antibunching from continuous variable sideband squeezing. Phys. Rev. Lett. 98, 153603 (2007).

    Article  ADS  Google Scholar 

  17. Kimble, H. J., Dagenais, M. & Mandel, L. Photon antibunching in resonance fluorescence. Phys. Rev. Lett. 39, 691–695 (1977).

    Article  ADS  Google Scholar 

  18. Kuhn, A., Hennrich, M. & Rempe, G. Deterministic single-photon source for distributed quantum networking. Phys. Rev. Lett. 89, 067901 (2002).

    Article  ADS  Google Scholar 

  19. Diedrich, F. & Walther, H. Nonclassical radiation of a single stored ion. Phys. Rev. Lett. 58, 203–206 (1987).

    Article  ADS  Google Scholar 

  20. Basché, T., Moerner, W. E., Orrit, M. & Talon, H. Photon antibunching in the fluorescence of a single dye molecule trapped in a solid. Phys. Rev. Lett. 69, 1516–1519 (1992).

    Article  ADS  Google Scholar 

  21. Michler, P. et al. A quantum dot single-photon turnstile device. Science 290, 2282–2285 (2000).

    Article  ADS  Google Scholar 

  22. Kurtsiefer, C., Mayer, S., Zarda, P. & Weinfurter, H. Stable solid-state source of single photons. Phys. Rev. Lett. 85, 290–293 (2000).

    Article  ADS  Google Scholar 

  23. Castellanos-Beltran, M. A., Irwin, K. D., Hilton, G. C., Vale, L. R. & Lehnert, K. W. Amplification and squeezing of quantum noise with a tunable Josephson metamaterial. Nature Phys. 4, 929–931 (2008).

    Article  ADS  Google Scholar 

Download references

Acknowledgements

We thank T. Frey and G. Littich for their contributions at the early stages of the project. We also thank C. M. Caves, D. Esteve and especially K. W. Lehnert for very fruitful discussions and J. Blatter for comments on the manuscript. This work was supported by the European Research Council (ERC) through a Starting Grant and by ETHZ. M.P.d.S. was supported by a NSERC postdoctoral fellowship. A.B. was supported by NSERC, CIFAR and the Alfred P. Sloan Foundation.

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Authors and Affiliations

  1. Department of Physics, ETH Zürich, CH-8093, Zürich, Switzerland

    D. Bozyigit, C. Lang, L. Steffen, J. M. Fink, C. Eichler, M. Baur, R. Bianchetti, P. J. Leek, S. Filipp & A. Wallraff

  2. Département de Physique, Université de Sherbrooke, Sherbrooke, Québec, J1K 2R1, Canada

    M. P. da Silva & A. Blais

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  1. D. Bozyigit
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  6. M. Baur
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  9. S. Filipp
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  10. M. P. da Silva
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Contributions

D.B., C.L. and L.S. carried out the experiments. D.B. and C.L. analysed the data and developed hardware data processing. J.M.F. and L.S. designed and fabricated the sample. Experiments were carried out at ETH Zurich; all authors in Zurich contributed to setting up and maintaining the cryogenic set-up, and developing measurement software. M.P.d.S. and A.B. contributed to the theoretical interpretation. A.W. and D.B. wrote the manuscript. All authors commented on the manuscript. A.W. supervised the project.

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Correspondence to A. Wallraff.

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The authors declare no competing financial interests.

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Bozyigit, D., Lang, C., Steffen, L. et al. Antibunching of microwave-frequency photons observed in correlation measurements using linear detectors. Nature Phys 7, 154–158 (2011). https://doi.org/10.1038/nphys1845

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