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Chinese Physics Letters

Nonlinear Wave in a Disc-Shaped Bose-Einstein Condensate

段文山, 陈建红, 杨红娟, Yu-Ren Shi, 王红艳

Published Jan 1, 2006• 0 citations
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Abstract

我们在 aBose 爱因斯坦冷凝物讨论原子事波浪的可能的非线性的波浪。之一和二二维(2D ) 在 Bose-Einsteincondensed 系统的黑暗 solitons 被调查。富有的动力学为在 twosolitons 之间的相互作用被学习。二 solitons 的相互作用侧面是极大地不同如果在他们之间的角度是不同的。如果角度是足够小的，最大的振幅在在 twosolitons 之间的相互作用期间是平的不到那如果单个 soliton。如果角度足够大，二 solitons 的最大的振幅不管多么能逐渐地照顾二个 soliton 振幅的和。

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Chinese Physics Letters•Jan 1, 2008•0 citations
我们在 aBose 爱因斯坦冷凝物讨论原子事波浪的可能的非线性的波浪。之一和二二维(2D ) 在 Bose-Einsteincondensed 系统的黑暗 solitons 被调查。富有的动力学为在 twosolitons 之间的相互作用被学习。二 solitons 的相互作用侧面是极大地不同如果在他们之间的角度是不同的。如果角度是足够小的，最大的振幅在在 twosolitons 之间的相互作用期间是平的不到那如果单个 soliton。如果角度足够大，二 solitons 的最大的振幅不管多么能逐渐地照顾二个 soliton 振幅的和。
We discuss the possible nonlinear waves of atomic matter wave in a Bose–Einstein condensate. One and two of two-dimensional (2D) dark solitons in the Bose–Einstein condensed system are investigated. A rich dynamics is studied for the interactions between two solitons. The interaction profiles of two solitons are greatly different if the angle between them are different. If the angle is small enough, the maximum amplitude during the interaction between two solitons is even less than that of a single soliton. However, if the angle is large enough, the maximum amplitude of two solitons can gradually attend to the sum of two soliton amplitudes.
The dynamics of the ring dark soliton in a Bose–Einstein condensate (BEC) with thin disc-shaped potential is investigated analytically and numerically. Analytical investigation shows that the ring dark soliton in the radial non-symmetric cylindrical BEC is governed by a cylindrical Kadomtsev–Petviashvili equation, while the ring dark soliton in the radial symmetric cylindrical BEC is governed by a cylindrical Korteweg–de Vries equation. The reduction to the cylindrical KP or KdV equation may be useful to understand the dynamics of a ring dark soliton. The numerical results show that the evolution properties and the snaking of a ring dark soliton are modified significantly by the trapping.