Abstract
Stationary states of two coupled Bose-Einstein condensates (BECs) in trap potentials with a localized impurity are obtained by the variational approach, and effects of the impurity on the stationary states and the characteristics of the two coupled BECs are discussed by performing a standard linear stability analysis. The switching and self-trapping of the two coupled BECs strictly depends on the impurity, and the critical impurity strength value are given for initial in-phase and out-of-phase cases. Finally, the atom population transferring ratio of the two coupled BECs is introduced, and the Josephson oscillations of the population transfer are discussed as time changes.
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MH. Anderson MR. Matthews CE. Wieman E.A.. Cornell (1995) Science. 269 198
DS. Durfee DM. Kurn K. Ketterle (1995) Phys Rev Lett. 75 3969 Occurrence Handle10.1103/PhysRevLett.75.3969 Occurrence Handle10059782
KW. Madison F. Chevy W. Wohlleben J. Dalibard (2000) Phys Rev Lett. 84 806 Occurrence Handle10.1103/PhysRevLett.84.806 Occurrence Handle11017378
A.L. Fetter A.A. Svidzinsky (2001) J. Phys.: Condens. Matter. 13 135 Occurrence Handle10.1088/0953-8984/13/12/201
L.P. Pitaevskii (1961) Sov. Phys. JETP 13 451
F. Dalfovo S. Giorgini LP. Pitaevskii S. Stringari (1999) Rev. Mod. Phys. 71 463
S. Raghavan G.P. Agrawal (2000) J. Mod. Opt. 47 1155
JC. Bronski LD. Carr R. Carretero-Gonzalez B. Deconinck J.N. Kutz K. Promislow (2001) Phys. Rev. E 63 036612
DJ. Frantzeskakis G. Theocharis FK. Diakonos P. Schmelcher Y.S. Kivshar (2002) Phys. Rev. A 66 053608
Mahmud K.W., Perry H., Reinhardt WP., J. Phys. B: At. Mol. Opt. Phys. 36: 265
V. Hakim (1997) Phys. Rev. E. 55 2835
Seaman B., Carr L.D., Holland e-printcond-mat/0410345 (2004).
PL. Chu CD. Peng B.S. Malomed (1992) Opt. Lett. 17 255
S. Raghavan A. Smerzi S. Fantoni S.R. Shenoy (1999) Phys. Rev. A. 59 620
S. Zhang F. Wang (2001) Phys. Lett. A. 279 231
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Li, H., Cheng, Y. & Huang, D. Switching and Self-Trapping of Two Coupled Bose–Einstein Condensates in Trap Potentials with a Localized Impurity. J Low Temp Phys 140, 11–27 (2005). https://doi.org/10.1007/s10909-005-6009-2
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DOI: https://doi.org/10.1007/s10909-005-6009-2