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Four-wave mixing with matter waves

Author

Listed:
  • L. Deng

    (National Institute of Standards and Technology
    Georgia Southern University)

  • E. W. Hagley

    (National Institute of Standards and Technology)

  • J. Wen

    (National Institute of Standards and Technology)

  • M. Trippenbach

    (National Institute of Standards and Technology
    Ben-Gurion University of the Negev)

  • Y. Band

    (National Institute of Standards and Technology
    Ben-Gurion University of the Negev)

  • P. S. Julienne

    (National Institute of Standards and Technology)

  • J. E. Simsarian

    (National Institute of Standards and Technology)

  • K. Helmerson

    (National Institute of Standards and Technology)

  • S. L. Rolston

    (National Institute of Standards and Technology)

  • W. D. Phillips

    (National Institute of Standards and Technology)

Abstract

The advent of the laser as an intense source of coherent light gave rise to nonlinear optics, which now plays an important role in many areas of science and technology. One of the first applications of nonlinear optics was the multi-wave mixing1,2 of several optical fields in a nonlinear medium (one in which the refractive index depends on the intensity of the field) to produce coherent light of a new frequency. The recent experimental realization of the matter-wave ‘laser’3,4—based on the extraction of coherent atoms from a Bose–Einstein condensate5—opens the way for analogous experiments with intense sources of matter waves: nonlinear atom optics6. Here we report coherent four-wave mixing in which three sodium matter waves of differing momenta mix to produce, by means of nonlinear atom–atom interactions, a fourth wave with new momentum. We find a clear signature of a four-wave mixing process in the dependence of the generated matter wave on the densities of the input waves. Our results may ultimately facilitate the production and investigation of quantum correlations between matter waves.

Suggested Citation

  • L. Deng & E. W. Hagley & J. Wen & M. Trippenbach & Y. Band & P. S. Julienne & J. E. Simsarian & K. Helmerson & S. L. Rolston & W. D. Phillips, 1999. "Four-wave mixing with matter waves," Nature, Nature, vol. 398(6724), pages 218-220, March.
    • Handle: RePEc:nat:nature:v:398:y:1999:i:6724:d:10.1038_18395
    DOI: 10.1038/18395
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    Cited by:

    1. Shi, Zeyun & Badshah, Fazal & Qin, Lu & Zhou, Yuan & Huang, Haibo & Zhang, Yong-Chang, 2023. "Spatially modulated control of pattern formation in a general nonlocal nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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