物理学报
物理學報
물이학보
2013年
4期
337-340
,共4页
孤子%不稳定性%玻色-爱因斯坦凝聚
孤子%不穩定性%玻色-愛因斯坦凝聚
고자%불은정성%파색-애인사탄응취
soliton%instability%Bose-Einstein condensate
研究了盘状势阱中二维玻色-爱因斯坦凝聚(BEC)的孤立波.在平均场理论下,由BEC所满足的Gross-Pitaevkii方程出发导出了二维BEC所满足的非线性Schr¨odinger方程.从该方程出发,研究单组分常振幅二维BEC (单组分常振幅BEC)的调制不稳定性,得到了该系统相应的增长率.
研究瞭盤狀勢阱中二維玻色-愛因斯坦凝聚(BEC)的孤立波.在平均場理論下,由BEC所滿足的Gross-Pitaevkii方程齣髮導齣瞭二維BEC所滿足的非線性Schr¨odinger方程.從該方程齣髮,研究單組分常振幅二維BEC (單組分常振幅BEC)的調製不穩定性,得到瞭該繫統相應的增長率.
연구료반상세정중이유파색-애인사탄응취(BEC)적고립파.재평균장이론하,유BEC소만족적Gross-Pitaevkii방정출발도출료이유BEC소만족적비선성Schr¨odinger방정.종해방정출발,연구단조분상진폭이유BEC (단조분상진폭BEC)적조제불은정성,득도료해계통상응적증장솔.
The solition wave in Bose-Einstein condensate with disk-shaped trap is investigated in this paper. Beyond the mean field, a two-dimensional nonlinear Schr¨odinger equation is obtained. The modulational instability for this system is studied analytically, and the growth rate for it is given.
