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Stable three-dimensional solitons in attractive Bose-Einstein condensates loaded in an optical lattice | | D. Mihalache
; D. Mazilu
; F. Lederer
; B. A. Malomed
; L.-C. Crasovan
; Y. V. Kartashov
; L. Torner
; | | Date: |
4 Jul 2005 | | Subject: | Pattern Formation and Solitons; Soft Condensed Matter | nlin.PS cond-mat.soft | | Abstract: | The existence and stability of solitons in Bose-Einstein condensates with attractive inter-atomic interactions, described by the Gross-Pitaevskii equation with a three-dimensional (3D) periodic potential, are investigated in a systematic form. We find a one-parameter family of stable 3D solitons in a certain interval of values of their norm, provided that the strength of the potential exceeds a threshold value. The minimum number of $^{7}$Li atoms in the stable solitons is 60, and the energy of the soliton at the stability threshold is $approx 6$ recoil energies in the lattice. The respective energy-vs.-norm diagram features two cuspidal points, resulting in a typical extit{swallowtail pattern}, which is a generic feature of 3D solitons supported by low- (2D) or fully-dimensional lattice potentials. | | Source: | arXiv, nlin.PS/0507007 | | Services: | Forum | Review | PDF | Favorites | |
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