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The BEC Near a Feshbach Resonance: A Superfluid of Mutually Coherent Condensates

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Directions in Quantum Optics

Part of the book series: Lecture Notes in Physics ((LNP,volume 561))

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Abstract

To gain a true appreciation of how extraordinary many of the properties of the atomic-trap Bose-Einstein condensates (BEC’s) [1] are, we only have to remind ourselves of their dilute gas nature. As such, the fact that their dynamics is extremely sensitive to the inter-particle interactions is remarkable, for instance. Since these BEC’s are amenable to atomic and optical techniques that can modify the inter-atomic interactions [2], it is also a relevant remark. In this paper, we discuss one of the proposed schemes: the magnetically controlled low energy Feshbach resonance. Near resonance, a magnetic field variation alters the detuning and, hence, the binary atom interactions. The response of the condensate to sudden changes of the inter-particle interaction is macroscopic [3] and the experimentalist who can control it is insured of performing interesting dynamical BEC-experiments. This prospect motivated a great deal of research, both in theory [4]- [5] and experiment [6].

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References

  1. M.H. Anderson et al.: Science 269, 198–201 (1995); K.B. Davis et al.: Phys. Rev. Lett. 75, 3969-3973 (1995); C.C. Bradley et al.: Phys. Rev. Lett. 75, 1687-1690 (1995); and 78, 985 (1997)

    Article  ADS  Google Scholar 

  2. In addition to the Feshbach resonance, other schemes have been proposed e.g. by means of external electric fields, see P.W. Milonni, A. Smith: Phys. Rev. A 53, 3484 (1996), and P.O. Fedichev et al.: Phys. Rev. Lett. 77, 2913 (1996)

    Article  ADS  Google Scholar 

  3. Y. Kagan, E.L. Surkov, G.V. Shlyapnikov: Phys. Rev. Lett. 79 2604 (1997)

    Article  ADS  Google Scholar 

  4. The first discussion of the Feshbach resonance in the context of atom traps appeared very early on: W. Stwalley: Phys. Rev. Lett. 37, 1628 (1976)

    Article  ADS  Google Scholar 

  5. The binary atom physics was explored in detail by B. Verhaar and his group and, more recently by the AMO-group at JILA: E. Tiesinga et al.: Phys. Rev. A. 46, R1167–R1170 (1992); E. Tiesinga et al.: Phys. Rev. A 47, 4114-4122 (1993); A.J. Moerdijk et al.: Phys. Rev. A 51, 4852-4861 (1995); J.M. Vogels et al.: Phys. Rev. A R1067-1070 (1997); H.M.J.M. Boesten et al.: Phys. Rev. A 54, R3726-R3729 1996); J.P. Burke, C.H. Greene, J.L. Bohn: Phys. Rev. Lett. 81, 3355 (1998)

    Article  ADS  Google Scholar 

  6. S. Inouye et al.: Nature 392, 151–154 (1998); Ph. Courteille et al.: Phys. Rev. Lett. 81, 69 (1998); J.L. Roberts et al.: Phys. Rev. Lett. 81, 5109 (1998) V. Vuletic et al. (1998)

    Article  ADS  Google Scholar 

  7. P. Tommasini et al.: preprint, cond-mat/9804015 (1998); E. Timmermans et al.: preprint, cond-mat/9805323 (1998); R. Côté et al.: proceedings of E.U. meeting on 'New Directions in Atomic Physics,' eds. C.T. Whelan et al. (Plenum Press, New York, in press); E. Timmermans: Proceedings of international meeting on “Collective Excitations in Bose and Fermi systems,” held September 1998, Serra Negra, Sao Paulo, Brazil World Scientific, Singapore 1999); E. Timmermans et al.: Phys. Rep. 315, 199 (1999); Phys. Rev. Lett. 83, 2691(1999)

    Google Scholar 

  8. E.P. Gross: Nuovo Cimento 20, 454 (1961)

    Article  MATH  Google Scholar 

  9. L.P. Pitaevskii: Sov. Phys.-JETP 13, 451 (1961)

    MathSciNet  Google Scholar 

  10. P.D. Drummond et al.: Phys. Rev. Lett. 81, 3055 (1998)

    Article  ADS  Google Scholar 

  11. J. Javanainen, M. Mackie: Phys. Rev. A. 59, R3186(1999)

    Article  ADS  Google Scholar 

  12. B.D. Josephson: Phys. Lett. 1, 251 (1962); Adv. Phys. 14, 419 (1965)

    Article  MATH  ADS  Google Scholar 

  13. N. Balakrishnan et al.: Phys. Rev. Lett. 80, 3224 (1998)

    Article  ADS  Google Scholar 

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Timmermans, E. (2001). The BEC Near a Feshbach Resonance: A Superfluid of Mutually Coherent Condensates. In: Carmichael, H.J., Glauber, R.J., Scully, M.O. (eds) Directions in Quantum Optics. Lecture Notes in Physics, vol 561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-40894-0_6

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  • DOI: https://doi.org/10.1007/3-540-40894-0_6

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