期刊文献+

装载于外势场中的玻色-爱因斯坦凝聚N-孤子间的相互作用 被引量:5

N-soliton interactions of Bose-Einstein condensatesin external potentials
原文传递
导出
摘要 首先建立起玻色-爱因斯坦凝聚孤子链的微扰复数Toda链理论,然后深入研究玻色-爱因斯坦凝聚N-孤子间的绝热相互作用,分别通过对二次外势场、周期性外势场和二者叠加的复合外势场所引起的三类微扰,利用微扰的复数Toda链理论给出了解析处理,并和基于分步傅里叶变换的直接数值方法进行比较,发现微扰的复数Toda链方程能够充分揭示上述三类外势场中的N-孤子链的动力学行为和特征.同时还给出了从孤子链中提取一个或多个局域态的倾斜势场或周期性势场的强度临界值,这可为玻色-爱因斯坦凝聚的实验研究和具体应用提供理论参考. In this paper, a perturbed complex Toda chain has been employed to describe the adiabatic interactions in an N-soliton train of the Gross-Pitaevskii equation, Perturbations induced by weak quadratic and periodic external potentials are analytically and numerically studied. It is found that the perturbed complex Toda chain adequately models the N-soliton train dynamics for both types of potentials. As an application of the developed theory, we consider the dynamics of a train of matter-wave solitons confined in a quadratic trap and optical lattice, as well as tilted periodic potentials. In the last case, we demonstrate that there exist critical values of the strength of the linear or periodic potential for which one or more localized states can be extracted from a soliton train. In addition, some interesting results in the experiments and applications of the Bose-Einstein condensates are also obtained.
出处 《物理学报》 SCIE EI CAS CSCD 北大核心 2008年第5期2658-2668,共11页 Acta Physica Sinica
基金 国家自然科学基金(批准号:10672147) 浙江省自然科学基金(批准号:Y605312)资助的课题~~
关键词 玻色-爱因斯坦凝聚 GROSS-PITAEVSKII方程 物质波孤子 相互作用 Bose-Einstein condensates, Gross-Pitaevskii equation, matter-wave solitons, interactions
  • 相关文献

参考文献56

  • 1Hasegawa, Kodama Y 1995 Solitons in Optical Communications ( Oxford : Clarendon Press)
  • 2Barone, Paterno G 1982 Physics and Applications of the Josephson Effect (New York: Wiley)
  • 3肖宇飞,王登龙,王凤姣,颜晓红.非对称的玻色-爱因斯坦凝聚中的约瑟夫森结的动力学性质[J].物理学报,2006,55(2):547-550. 被引量:8
  • 4Kivshar Y, Agrawal G 2003 Optical Solitons : From Fibers to Photonic Crystals (San Diego: Academic Press)
  • 5Baizakov B B, Malomed B A, Salerno M 2004 Phys. Rev. A 70 053613
  • 6Xu J, Hai W H, Li H 2007 Chin. Phys. 16 2244
  • 7Abdullaev F K, Gammal A, Kamchatnov A M, Tomio L 2005 Int. J. Mod. Phys. B 19 3415
  • 8Brazhnyi V A, Konotop V V 2004 Mod. Phys. Lett. B 18 267
  • 9Li H M 2006 Chin. Phys. 15 2216
  • 10徐志君,施建青,林国成.轴对称谐振势阱中玻色凝聚气体基态和单涡旋态解[J].物理学报,2007,56(2):666-672. 被引量:9

二级参考文献107

共引文献83

同被引文献134

引证文献5

二级引证文献9

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部