×

Interference effects between three coupled Bose-Einstein condensates. (English) Zbl 0972.82009

Summary: We study the interference effects between three weakly linked trapped Bose-Einstein condensates (BEC) as a generalization of the two-component condensates. Three coupled Gross-Pitaevskii equations (GPE) are used to describe the dynamics of the system. The nonsinusoidal oscillation is found as a generalization of the Josephson effect in superconductivity. The self-trapped effects are also predicted in three coupled BEC. Moreover, in general case, the phase diagrams of the system are closed only for some special parameters, which can be used to determine the interaction parameters between atoms in BEC.

MSC:

82B10 Quantum equilibrium statistical mechanics (general)
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] Anderson, M. H., Science, 269, 198 (1995)
[2] Davis, K. B., Phys. Rev. Lett., 75, 3969 (1995)
[3] Bradley, C. C., Phys. Rev. Lett., 75, 1687 (1995)
[4] Leggett, A. J.; Sols, F., Found. Phys., 21, 253 (1991)
[5] Dalfovo, F., Rev. Mod. Phys., 71, 463 (1999), For a review, see
[6] Javanainen, J.; Yoo, S. M., Phys. Rev. Lett., 76, 161 (1996)
[7] Lewenstein, M.; You, L., Phys. Rev. Lett., 77, 3489 (1996)
[8] Dalfovo, F.; Pitaevskii, L.; Stringari, S., Phys. Rev. A, 54, 4213 (1996)
[9] Naraschewski, M., Phys. Rev. A, 54, 2185 (1996)
[10] Wallis, H., Phys. Rev. A, 55, 2109 (1997)
[11] Milburn, G. J., Phys. Rev. A, 55, 4318 (1997)
[12] Cirac, J. I., Phys. Rev. A, 54, 3714 (1996)
[13] Wang, T.; Collett, M. J.; Walls, D. F., Phys. Rev. A, 54, 3718 (1996)
[14] Jack, M. W.; Collett, M. J.; Walls, D. F., Phys. Rev. A, 54, 4625 (1996)
[15] Smerzi, A., Phys. Rev. Lett., 79, 4950 (1997)
[16] Raghavan, S., Phys. Rev. A, 59, 620 (1999)
[17] Hoston, W.; You, L., Phys. Rev. A, 53, 4254 (1996)
[18] Röhrl, A., Phys. Rev. Lett., 78, 4143 (1997)
[19] Williams, J., Phys. Rev. A, 59, 31 (1999)
[20] Andrews, M. R., Science, 275, 637 (1997)
[21] Hall, D. S., Phys. Rev. Lett., 81, 1543 (1998)
[22] Hall, D. S., Phys. Rev. Lett., 81, 1539 (1998)
[23] Matthews, M., Phys. Rev. Lett., 81, 243 (1998)
[24] Ramsey, N., Molecular Beams (1956), Clarendon Press: Clarendon Press Oxford
[25] Stenger, J.
[26] Zapata, I., Phys. Rev. A, 57, 28 (1998)
[27] Gross, E. P., Nuovo Cimento, 20, 454 (1961)
[28] Feynman, R. P., Statistical Mechanics (1972), Addison-Wesley: Addison-Wesley Redwood City
[29] Barone, A.; Paterno, G., Physics and Applications of the Josephson Effect (1982), Wiley: Wiley New York
[30] Kaplan, D.; Glass, L., Understanding Nonlinear Dynamics (1995), Springer: Springer Berlin · Zbl 0823.34002
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.