Abstract
This lecture discusses some aspects of the dynamics of the collective and single-particle excitations at zero temperature of Bose-Einstein condensates of alkali-vapors in magnetic traps. We shall discuss those aspects which can be understood by taking the short-wavelength or ’eikonal’ limit of the excitations. Trapped Bose-Einstein condensates can be excited experimentally either directly via periodic modulations of the trap potential or by scattering light off the condensate. My discussion here will closely follow some theoretical work published in [1–3] that has recently been done in collaboration with Andras Csordas and Peter Szepfalusy at the Research Institute for solid State Physics and Optics in Budapest, Hungary and with Martin Fliesser at the University of Essen, Germany.
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M. Fliesser, A. Csordás, R. Graham, P. Szépfalusy, Phys. Rev A 56, 4879 (1997)
M. Fliesser, A. Csordás, R. Graham, P. Szépfalusy, Phys. Rev. A 56, R2533 (1997)
M. Fliesser and R. Graham, Physica D 131, 141 (1999)
M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wiemann, and E. A. Cornell, Science 269, 198 (1995).
C.C. Bradley, C.A. Sackett, J.J. Tollett, and R.G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).
K.B. Davis, M.O. Mewes, M.R. Andrews, N.J. van Druten, D.D. Durfee, D.M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).
N. Bogoliubov, J. Phys. USSR 11, 23 (1947)
G. Baym and C. J. Pethick, Phys. Rev. Lett. 76, 6 (1996)
A. CsordAs, R. Graham, P. Szépfalusy, Phys. Rev A 56, 5179 (1997)
L. P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961) Soy. Phys. JETP 13, 451 (1961)
E. P. Gross, Nuovo Cimento 20, 454 (1961); J. Math. Phys. 4, 195 (1963).
S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).
A. L. Fetter, Ann. Phys. (N.Y.) 70, 67 (1972).
M. Edwards, P. A. Ruprecht and K. Burnett, R. J. Dodd and C. W. Clark, Phys. Rev. Lett. 77, 1671 (1996);
P. A. Ruprecht, M. Edwards, and K. Burnett, Phys. Rev. A 54, 4178 (1996);
K. G. Singh and D. S. Rolhsar, Phys. Rev. Lett. 77, 1667 (1996);
L. You, W. Hoston, and M. Lewenstein, Phys. Rev. A55, R1581 (1997);
A. Smerzi and S. Fantoni, Phys. Rev. Lett. 78, 3589 (1997);
B. D. Esry, Phys. Rev. A55, 1147 (1997).
A. L. Fetter, Phys. Rev. A53, 4245 (1996);
W.-C. Wu and A. Griffin, Phys. Rev. A54, 4204 (1996);
V. M. Pérez-García, H. Michinel, J. I. Cirac, M. Lewenstein, P. Zoller, Phys. Rev. Lett 77, 1520 (1996);
Y. Castin and R. Dum, Phys. Rev. Lett. 77, 5315 (1996);
Yu. Kagan, E. L. Surkov, G. V. Shlyapnikov, Phys. Rev. A54, R1753 (1996); Phys. Rev. A55, R18 (1997);
F. Dalfovo, C. Minniti, S. Stringed, L. P. Pitaevskii, Phys. Lett. A227 259 (1997).
B.V. Chirikov, Physics Reports 52, 263 (1979)
P. Öhberg, E. L. Surkov, I. Tittonen, M. Wilkens, and G. V. Shlyapnikov, Phys. Rev. A 56, R3346 (1997).
F. Dalfovo, L. Pitaevskii and S. Stringari, Phys. Rev A 54, 4213 (1996)
L. You, W. Hoston, and M. Lewenstein, Phys. Rev. A55, R1581 (1997)
A. Csordas and R. Graham, Phys. Rev. A59, 1477 (1999)
M. Fliesser and R. Graham, Phys. Rev. A59, R27 (1999)
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Graham, R. (2004). Classical Dynamics of Excitations of Bose Condensates in Anisotropic Traps. In: Descalzi, O., Martínez, J., Tirapegui, E. (eds) Instabilities and Nonequilibrium Structures VII & VIII. Nonlinear Phenomena and Complex Systems, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2149-7_2
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