摘要
By developing multiple-scale method combined with Wentzel-Kramer-Brillouin expansion, this paper analytically studies the modulating effect of weakly periodic potential on the dynamical properties of the Dose-Einstein condensates （BEC） trapped in harmonic magnetic traps. A black-grey soliton transition is observed in the BEC trapped in harmonic magnetic potential, due to the weakly periodic potential modulating effect. Meanwhile, it finds that with the slight increase of the weakly periodic potential strength, the velocity of the soliton decreases, while its width firstly decreases then increases, a minimum exists there. These results show that the amplitude, velocity, and width of matter solitons can be effectively managed by means of a weakly periodic potential
By developing multiple-scale method combined with Wentzel-Kramer-Brillouin expansion, this paper analytically studies the modulating effect of weakly periodic potential on the dynamical properties of the Dose-Einstein condensates （BEC） trapped in harmonic magnetic traps. A black-grey soliton transition is observed in the BEC trapped in harmonic magnetic potential, due to the weakly periodic potential modulating effect. Meanwhile, it finds that with the slight increase of the weakly periodic potential strength, the velocity of the soliton decreases, while its width firstly decreases then increases, a minimum exists there. These results show that the amplitude, velocity, and width of matter solitons can be effectively managed by means of a weakly periodic potential
基金
supported by the National Natural Science Foundation of China (Grant No 10674113)
the New Century Excellent Talent Project of the Ministry of Education of China (Grant No NCEF-06-0707)
the Natural Science Foundation of Hunan Provinceof China (Grant No 06JJ50006)
