TY - JOUR
T1 - Self-trapped nonlinear matter waves in periodic potentials
AU - Alexander, Tristram J.
AU - Ostrovskaya, Elena A.
AU - Kivshar, Yuri S.
PY - 2006
Y1 - 2006
N2 - We demonstrate that the recent observation of nonlinear self-trapping of matter waves in one-dimensional optical lattices [Th. Anker, Phys. Rev. Lett. 94, 020403 (2005)PRLTAO0031-900710.1103/PhysRevLett.94.020403] can be associated with a novel type of broad nonlinear state existing in the gaps of the matter-wave band-gap spectrum. We find these self-trapped localized modes in one-, two-, and three-dimensional periodic potentials, and demonstrate that such novel gap states can be generated experimentally in any dimension.
AB - We demonstrate that the recent observation of nonlinear self-trapping of matter waves in one-dimensional optical lattices [Th. Anker, Phys. Rev. Lett. 94, 020403 (2005)PRLTAO0031-900710.1103/PhysRevLett.94.020403] can be associated with a novel type of broad nonlinear state existing in the gaps of the matter-wave band-gap spectrum. We find these self-trapped localized modes in one-, two-, and three-dimensional periodic potentials, and demonstrate that such novel gap states can be generated experimentally in any dimension.
UR - http://www.scopus.com/inward/record.url?scp=33144480745&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.96.040401
DO - 10.1103/PhysRevLett.96.040401
M3 - Article
SN - 0031-9007
VL - 96
JO - Physical Review Letters
JF - Physical Review Letters
IS - 4
M1 - 040401
ER -