TY - JOUR

T1 - Stable three-dimensional solitons in attractive Bose-Einstein condensates loaded in an optical lattice

AU - Mihalache, D.

AU - Mazilu, D.

AU - Lederer, F.

AU - Malomed, B. A.

AU - Crasovan, L. C.

AU - Kartashov, Y. V.

AU - Torner, L.

PY - 2005/8

Y1 - 2005/8

N2 - The existence and stability of solitons in Bose-Einstein condensates with attractive interatomic 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 Li7 atoms in the stable solitons is 60, and the energy of the soliton at the stability threshold is 6 recoil energies in the lattice. The respective energy versus norm diagram features two cuspidal points, resulting in a typical swallowtail pattern, which is a generic feature of 3D solitons supported by quasi-two-dimensional or fully dimensional lattice potentials.

AB - The existence and stability of solitons in Bose-Einstein condensates with attractive interatomic 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 Li7 atoms in the stable solitons is 60, and the energy of the soliton at the stability threshold is 6 recoil energies in the lattice. The respective energy versus norm diagram features two cuspidal points, resulting in a typical swallowtail pattern, which is a generic feature of 3D solitons supported by quasi-two-dimensional or fully dimensional lattice potentials.

UR - http://www.scopus.com/inward/record.url?scp=33244481059&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.72.021601

DO - 10.1103/PhysRevA.72.021601

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AN - SCOPUS:33244481059

SN - 1050-2947

VL - 72

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 2

M1 - 021601

ER -