TY - JOUR
T1 - Formation of matter-wave soliton molecules
AU - Al Khawaja, U.
AU - Stoof, H. T.C.
PY - 2011/8
Y1 - 2011/8
N2 - We propose an experiment for forming matter-wave soliton molecules. In the proposed setup, we show that if two solitons are initially prepared in phase and with a sufficiently small separation and relative velocity, a bound pair will always form. This is verified by direct numerical simulation of the Gross-Pitaevskii equation and by the derivation of the exact interaction energy of two solitons, which takes the form of a Morse potential. This interaction potential depends not only on the separation but also on the relative phase of the solitons and is essential for an analytical treatment of a host of other problems, such as the soliton gas and the Toda lattice of solitons.
AB - We propose an experiment for forming matter-wave soliton molecules. In the proposed setup, we show that if two solitons are initially prepared in phase and with a sufficiently small separation and relative velocity, a bound pair will always form. This is verified by direct numerical simulation of the Gross-Pitaevskii equation and by the derivation of the exact interaction energy of two solitons, which takes the form of a Morse potential. This interaction potential depends not only on the separation but also on the relative phase of the solitons and is essential for an analytical treatment of a host of other problems, such as the soliton gas and the Toda lattice of solitons.
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U2 - 10.1088/1367-2630/13/8/085003
DO - 10.1088/1367-2630/13/8/085003
M3 - Article
AN - SCOPUS:80051972012
SN - 1367-2630
VL - 13
JO - New Journal of Physics
JF - New Journal of Physics
M1 - 085003
ER -