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 -