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Quantum nonlinear optics with single photons enabled by strongly interacting atoms

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Abstract

The realization of strong nonlinear interactions between individual light quanta (photons) is a long-standing goal in optical science and engineering1,2, being of both fundamental and technological significance. In conventional optical materials, the nonlinearity at light powers corresponding to single photons is negligibly weak. Here we demonstrate a medium that is nonlinear at the level of individual quanta, exhibiting strong absorption of photon pairs while remaining transparent to single photons. The quantum nonlinearity is obtained by coherently coupling slowly propagating photons3,4,5 to strongly interacting atomic Rydberg states6,7,8,9,10,11,12 in a cold, dense atomic gas13,14. Our approach paves the way for quantum-by-quantum control of light fields, including single-photon switching15, all-optical deterministic quantum logic16 and the realization of strongly correlated many-body states of light17.

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Figure 1: Rydberg-blockade-mediated interaction between slow photons.
Figure 2: Two-photon optical nonlinearity.
Figure 3: Saturation behaviour of the transmission.
Figure 4: Dependence of the correlation function on EIT parameters.

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References

  1. Yamamoto, Y. & Imamoglu, A. Mesoscopic Quantum Optics (Wiley & Sons, 1999)

    MATH  Google Scholar 

  2. Birnbaum, K. M. et al. Photon blockade in an optical cavity with one trapped atom. Nature 436, 87–90 (2005)

    Article  ADS  CAS  Google Scholar 

  3. Hau, L. V., Harris, S. E., Dutton, Z. & Behroozi, C. H. Light speed reduction to 17 metres per second in an ultracold atomic gas. Nature 397, 594–598 (1999)

    Article  ADS  CAS  Google Scholar 

  4. Fleischhauer, M. & Lukin, M. D. Dark-state polaritons in electromagnetically induced transparency. Phys. Rev. Lett. 84, 5094–5097 (2000)

    Article  ADS  CAS  Google Scholar 

  5. Fleischhauer, M., Imamoglu, A. & Marangos, J. P. Electromagnetically induced transparency: optics in coherent media. Rev. Mod. Phys. 77, 633–673 (2005)

    Article  ADS  CAS  Google Scholar 

  6. Tong, D. et al. Local blockade of Rydberg excitation in an ultracold gas. Phys. Rev. Lett. 93, 063001 (2004)

    Article  ADS  CAS  Google Scholar 

  7. Singer, K., Reetz-Lamour, M., Amthor, T., Marcassa, L. G. & Weidemüller, M. Suppression of excitation and spectral broadening induced by interactions in a cold gas of Rydberg atoms. Phys. Rev. Lett. 93, 163001 (2004)

    Article  ADS  Google Scholar 

  8. Liebisch, T. C., Reinhard, A., Berman, P. R. & Raithel, G. Atom counting statistics in ensembles of interacting Rydberg atoms. Phys. Rev. Lett. 95, 253002 (2005)

    Article  ADS  Google Scholar 

  9. Heidemann, R. et al. Rydberg excitation of Bose-Einstein condensates. Phys. Rev. Lett. 100, 033601 (2008)

    Article  ADS  Google Scholar 

  10. Johnson, T. A. et al. Rabi oscillations between ground and Rydberg states with dipole-dipole atomic interactions. Phys. Rev. Lett. 100, 113003 (2008)

    Article  ADS  CAS  Google Scholar 

  11. Urban, E. et al. Observation of Rydberg blockade between two atoms. Nature Phys. 5, 110–114 (2009)

    Article  ADS  CAS  Google Scholar 

  12. Gaëtan, A. et al. Observation of collective excitation of two individual atoms in the Rydberg blockade regime. Nature Phys. 5, 115–118 (2009)

    Article  ADS  Google Scholar 

  13. Pritchard, J. D. et al. Cooperative atom-light interaction in a blockaded Rydberg ensemble. Phys. Rev. Lett. 105, 193603 (2010)

    Article  ADS  CAS  Google Scholar 

  14. Pritchard, J. D., Weatherill, K. J. & Adams, C. S. Non-linear optics using cold Rydberg atoms. Preprint at http://arXiv.org/abs/1205.4890v1 (2012)

  15. Gorshkov, A. V., Otterbach, J., Fleischhauer, M., Pohl, T. & Lukin, M. D. Photon-photon interactions via Rydberg blockade. Phys. Rev. Lett. 107, 133602 (2011)

    Article  ADS  Google Scholar 

  16. Shahmoon, E., Kurizki, G., Fleischhauer, M. & Petrosyan, D. Strongly interacting photons in hollow-core waveguides. Phys. Rev. A 83, 033806 (2011)

    Article  ADS  Google Scholar 

  17. Chang, D. E. et al. Crystallization of strongly interacting photons in a nonlinear optical fibre. Nature Phys. 4, 884–889 (2008)

    Article  ADS  CAS  Google Scholar 

  18. Schuster, I. et al. Nonlinear spectroscopy of photons bound to one atom. Nature Phys. 4, 382–385 (2008)

    Article  ADS  CAS  Google Scholar 

  19. Fushman, I. et al. Controlled phase shifts with a single quantum dot. Science 320, 769–772 (2008)

    Article  ADS  CAS  Google Scholar 

  20. Reinhard, A. et al. Strongly correlated photons on a chip. Nature Photon. 6, 93–96 (2011)

    Article  ADS  Google Scholar 

  21. Tanji-Suzuki, H., Chen, W., Landig, R., Simon, J. & Vuletić, V. Vacuum-induced transparency. Science 333, 1266–1269 (2011)

    Article  ADS  CAS  Google Scholar 

  22. Petrosyan, D., Otterbach, J. & Fleischhauer, M. Electromagnetically induced transparency with Rydberg atoms. Phys. Rev. Lett. 107, 213601 (2011)

    Article  ADS  Google Scholar 

  23. Sevinçli, S., Henkel, N., Ates, C. & Pohl, T. Nonlocal nonlinear optics in cold Rydberg gases. Phys. Rev. Lett. 107, 153001 (2011)

    Article  ADS  Google Scholar 

  24. Saffman, M., Walker, T. G. & Mølmer, K. Quantum information with Rydberg atoms. Rev. Mod. Phys. 82, 2313–2363 (2010)

    Article  ADS  CAS  Google Scholar 

  25. Møller, D., Madsen, L. B. & Mølmer, K. Quantum gates and multiparticle entanglement by Rydberg excitation blockade and adiabatic passage. Phys. Rev. Lett. 100, 170504 (2008)

    Article  ADS  Google Scholar 

  26. Müller, M., Lesanovsky, I., Weimer, H., Büchler, H. P. & Zoller, P. Mesoscopic Rydberg gate based on electromagnetically induced transparency. Phys. Rev. Lett. 102, 170502 (2009)

    Article  ADS  Google Scholar 

  27. Lukin, M. D. et al. Dipole blockade and quantum information processing in mesoscopic atomic ensembles. Phys. Rev. Lett. 87, 037901 (2001)

    Article  ADS  CAS  Google Scholar 

  28. Bajcsy, M. et al. Efficient all-optical switching using slow light within a hollow fiber. Phys. Rev. Lett. 102, 203902 (2009)

    Article  ADS  CAS  Google Scholar 

  29. Venkataraman, V., Saha, K., Londero, P. & Gaeta, A. L. Few-photon all-optical modulation in a photonic band-gap fiber. Phys. Rev. Lett. 107, 193902 (2011)

    Article  ADS  Google Scholar 

  30. Dudin, Y. O. & Kuzmich, A. Strongly interacting Rydberg excitations of a cold atomic gas. Science 336, 887–889 (2012)

    Article  ADS  CAS  Google Scholar 

  31. Han, Y., He, B., Heshami, K., Li, C.-Z. & Simon, C. Quantum repeaters based on Rydberg-blockade-coupled atomic ensembles. Phys. Rev. A 81, 052311 (2010)

    Article  ADS  Google Scholar 

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Acknowledgements

We acknowledge technical support from A. Mazurenko. This work was supported in part by NSF, CUA and the AFOSR Quantum Memories MURI. A.V.G. acknowledges funding from the Lee A. DuBridge Foundation and the IQIM, an NSF Physics Frontiers Center with support from the Gordon and Betty Moore Foundation.

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Contributions

The experiment was designed and built by S.H., T. Peyronel and Q.-Y.L. Measurements and analysis of the data presented were carried out by T. Peyronel, O.F. and Q.-Y.L. The theoretical analysis was performed by A.V.G. and T. Pohl. All experimental and theoretical work was supervised by M.D.L. and V.V. All authors discussed the results and contributed to the manuscript.

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Correspondence to Mikhail D. Lukin or Vladan Vuletić.

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The authors declare no competing financial interests.

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Peyronel, T., Firstenberg, O., Liang, QY. et al. Quantum nonlinear optics with single photons enabled by strongly interacting atoms. Nature 488, 57–60 (2012). https://doi.org/10.1038/nature11361

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