The Bose-Einstein condensates(BEC) of trapped atomic gases with internal degrees of freedom are new forms of macroscopically coherent matter. These forms of matter exhibit rich quantum structures and provide new oppor...The Bose-Einstein condensates(BEC) of trapped atomic gases with internal degrees of freedom are new forms of macroscopically coherent matter. These forms of matter exhibit rich quantum structures and provide new opportunity to examine the quantum many-body theory in detail way. An essential feature of a spinor BEC is that two or more hyperfine states have almost the same energy and the spin degrees of freedom展开更多
We present three families of one-soliton solutions for （2＋1）-dimensional Gross-Pitaevskii equation with both time-dependent scattering length and gain or loss in a harmonic trap. Then we investigate the dynamics of...We present three families of one-soliton solutions for （2＋1）-dimensional Gross-Pitaevskii equation with both time-dependent scattering length and gain or loss in a harmonic trap. Then we investigate the dynamics of these solitons in Bose-Einstein condensate8 （BECs） by some selected control functions. Our results show that the intensities of these solitons first increase rapidly to the condensation peak, then decay very slowly to the background; thus the lifetime of a bright soliton, a train of bright solitons and a dark soliton in BECs can be all greatly extended. Our results offer a useful method for observing matter-wave solitons in BECs in future experiments.展开更多
文摘The Bose-Einstein condensates(BEC) of trapped atomic gases with internal degrees of freedom are new forms of macroscopically coherent matter. These forms of matter exhibit rich quantum structures and provide new opportunity to examine the quantum many-body theory in detail way. An essential feature of a spinor BEC is that two or more hyperfine states have almost the same energy and the spin degrees of freedom
基金Supported by NSFC under Grant Nos. 11041003, 10735030, 10874235, 10934010, 60978019, the NKBRSFC under Grant Nos. 2009CB930701, 2010CB922904, and 2011CB921500Zhejiang Provincial NSF under Grant No. Y6090592+1 种基金Ningbo Natural Science Foundation under Grant Nos. 2010A610095, 2010A610103, and 2009B21003K.C. Wong Magna Fund in Ningbo University
文摘We present three families of one-soliton solutions for （2＋1）-dimensional Gross-Pitaevskii equation with both time-dependent scattering length and gain or loss in a harmonic trap. Then we investigate the dynamics of these solitons in Bose-Einstein condensate8 （BECs） by some selected control functions. Our results show that the intensities of these solitons first increase rapidly to the condensation peak, then decay very slowly to the background; thus the lifetime of a bright soliton, a train of bright solitons and a dark soliton in BECs can be all greatly extended. Our results offer a useful method for observing matter-wave solitons in BECs in future experiments.
