Abstract
Dynamics of attractive Bose-Einstein condensates trapped in harmonic potentials is studied. By use of the variance identity and a rigorous inequality, we obtain a sufficient condition for the collapse of the wavefunction in the nonlinear Schrödinger equation (Gross-Pitaevskii equation). Further, by applying this method, we investigate the dynamic stability of a trapped Bose-Einstein condensate and its dependence on the initial shape of the condensate. The result agrees qualitatively well with that of the time-dependent variational method. We find that the anisotropy introduced in the initial state has a significant effect on the stability.
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REFERENCES
P. A. Ruprecht et al., Phys. Rev. A 51, 4704 (1995).
G. Baym and C. J. Pethick, Phys. Rev. Lett. 76, 6 (1996).
M. Wadati and T. Tsurumi, Phys. Lett. A 247, 287 (1998).
H. Morise, T. Tsurumi, and M. Wadati, Physica A 281, 432 (2000).
H. Morise and M. Wadati, J. Phys. Soc. Jpn. 69, 2463 (2000).
V. E. Zakharov, Sov. Phys. JETP 35, 908 (1972).
T. Tsurumi and M. Wadati, J. Phys. Soc. Jpn. 66, 3031 (1997).
H. Morise and M. Wadati, submitted to J. Phys. Soc. Jpn.
T. Tsurumi, H. Morise, and M. Wadati, Int. J. Mod. Phys. B 14, 655 (2000).
C. Huepe et al., Phys. Rev. Lett. 82, 1616 (1999).
V. M. Pérez-García et al., Phys. Rev. Lett. 77, 5320 (1996).
L. Salasnich, Int. J. Mod. Phys. B 14, 1 (2000).
V. M. Pérez-García et al., Phys. Rev. A 56, 1424 (1997).
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Morise, H., Wadati, M. Dynamics of Attractive Bose-Einstein Condensates Trapped in Harmonic Potentials. Journal of Low Temperature Physics 126, 449–454 (2002). https://doi.org/10.1023/A:1013734210634
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DOI: https://doi.org/10.1023/A:1013734210634