Matter-wave soliton bouncing on a reflecting surface under the effect of gravity
作者： A. Benseghir , W. A. T. Wan Abdullah , B. B. Baizakov , F. Kh. Abdullaev
DOI: 10.1103/PHYSREVA.90.023607
关键词:
摘要: Department of Physics, Faculty Science, International IslamicUniversity Malaysia, 25200, Kuantan, Malaysia(Dated: June 27, 2014)Dynamics a matter wave soliton bouncing on the reflecting surface (atomic mirror) under theeffect gravity has been studied by analytical and numerical means. The description isbased variational approach. Resonant oscillations soliton’s center mass width,induced appropriate modulation atomic scattering length slope linearpotential are analyzed. In experiments we observe Fermi type acceleration thesoliton when vertical position is periodically varied in time. Analyticalpredictions compared with results simulations Gross-Pitaevskii equationand qualitative agreement between them found.
harvard.edu
arxiv.org
iium.edu.my
arxiv-vanity.com参考文章(55)
J. J. Sakurai, Eugene D. Commins, Modern Quantum Mechanics, Revised Edition American Journal of Physics. ,vol. 63, pp. 93- 95 ,(1995) , 10.1119/1.17781
Siegfried Flugge, Practical quantum mechanics ,(1971)
R. L. Gibbs, The quantum bouncer American Journal of Physics. ,vol. 43, pp. 25- 28 ,(1975) , 10.1119/1.10024
Julio Gea-Banacloche, A quantum bouncing ball American Journal of Physics. ,vol. 67, pp. 776- 782 ,(1999) , 10.1119/1.19124
P. W. Langhoff, Schrödinger Particle in a Gravitational Well American Journal of Physics. ,vol. 39, pp. 954- 957 ,(1971) , 10.1119/1.1986333
R. D. Desko, D. J. Bord, The quantum bouncer revisited American Journal of Physics. ,vol. 51, pp. 82- 84 ,(1983) , 10.1119/1.13400
D. A. Goodings, T. Szeredi, The quantum bouncer by the path integral method American Journal of Physics. ,vol. 59, pp. 924- 930 ,(1991) , 10.1119/1.16673
Julio Gea-Banacloche, A bouncing wavepacket: finite-wall and resonance effects Optics Communications. ,vol. 179, pp. 117- 121 ,(2000) , 10.1016/S0030-4018(99)00493-9
S. Whineray, An energy representation approach to the quantum bouncer American Journal of Physics. ,vol. 60, pp. 948- 950 ,(1992) , 10.1119/1.17024
M. A. Doncheski, R. W. Robinett, Expectation value analysis of wave packet solutions for the quantum bouncer: Short-term classical and long-term revival behaviors American Journal of Physics. ,vol. 69, pp. 1084- 1090 ,(2001) , 10.1119/1.1383598