Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

理论物理通讯：英文版

Exact Analytical Solutions in Bose-Einstein Condensates with Time-Dependent Atomic Scattering Length

Chen, Yong, Li, Biao, Zheng Zheng, Yu Yu

Published Jan 1, 2007• 1 citation
OpenAlex

Abstract

在纸，概括 Riccati 方程合理扩大方法被介绍。使用方法和符号的计算，我们在场 Bose 的准确分析答案的三个家庭—有时间依赖者的爱因斯坦冷凝物内部在一个逐出的抛物线的潜力的原子相互作用。然后，二个 anlytical 解决方案的动力学被计算机模拟包括管理 Feshbach 的非线性的系数和夸张正割函数系数在一些可选的参数下面表明。

Related papers

Compression of Bright Bound Solitons in the Bose-Einstein Condensates with Exponentially Time-Dependent Atomic Scattering Length by the Feshbach Resonance

Zhi‐Yuan Sun, Yi-Tian Gao, Xin Yu +1 more

International Journal of Theoretical Physics•Apr 16, 2011•3 citations

Nonautonomous bright and dark solitons of Bose–Einstein condensates with Feshbach-managed time-dependent scattering length

Qiuyan Li, Zai-Dong Li, Lu Li +1 more

arXiv:1012.5463•Optics Communications•May 6, 2010•32 citations

Exact Analytical Solutions in Bose–Einstein Condensates with Time-Dependent Atomic Scattering Length

Yong Chen, Li Biao, Yu Jie Zheng

In the paper, the generalized Riccati equation rational expansion method is presented. Making use of the method and symbolic computation, we present three families of exact analytical solutions of Bose–Einstein condensates with the time-dependent interatomic interaction in an expulsive parabolic potential. Then the dynamics of two anlytical solutions are demonstrated by computer simulations under some selectable parameters including the Feshbach-managed nonlinear coefficient and the hyperbolic secant function coefficient.

Communications in Theoretical Physics•Jan 1, 2007•6 citations

Dynamics of Periodic Waves in Bose-Einstein Condensate with Time-Dependent Atomic Scattering Length

Li, Hua-Mei

在有时间依赖者的 Bose 爱因斯坦冷凝物(BEC ) 的周期的波浪和独居的波浪的进化在一个逐出的抛物线的潜力的原子散布长度被学习。基于印射的变丑方法，我们成功地获得周期的波浪答案和独居的波浪答案，包括明亮、黑暗的 soliton 答案。在这篇论文的结果在文学包括一些[Phys。加快。Lett。94 (2005 ) 050402 并且下巴。Phys。Lett。22 (2005 ) 1855 ] 。

理论物理通讯：英文版•Jan 1, 2007•2 citations

Dark and bright solitons in a Bose–Einstein condensate with a Feshbach resonance

C. Yüce, Abidin Kılıç

Both dark and bright solitons are constructed exactly for a Bose–Einstein condensation with a time-dependent scattering length in an expulsive parabolic potential. It is shown analytically how the size of the cloud and the sharp peak of the condensate changes via the Feshbach resonance. It is also found that the atom loss due to three-body recombination can be controlled with the help of Feshbach resonance. The exact calculation is performed to compare the rate of the atom loss between the system with time-dependent scattering length in an expulsive parabolic potential and the system with constant scattering length.

Physica Scripta•Jan 12, 2007•3 citations

Effect of Time-Dependent Atomic Scattering Length on Solitons in Bose-Einstein Condensates with a Complex Potential

Wang, Tian-Yuan

我们与在一个复杂潜力散布长度的时间依赖者认为描述鲍斯·爱因斯坦的动力学的一个维的非线性的 Schrodinger 方程是冷凝物。我们的结果证明只要 integrable 关系满足，一个维的非线性的 Schrodinger 方程的准确答案能在一种一般关上的形式被发现，并且在二 solitons 之间的相互作用在一个复杂潜力被调制。我们发现散布长度和套住的潜力的变化能有效地被用来控制在二明亮的 soliton 之间的相互作用。

理论物理通讯：英文版•Jan 1, 2009•1 citation
在纸，概括 Riccati 方程合理扩大方法被介绍。使用方法和符号的计算，我们在场 Bose 的准确分析答案的三个家庭—有时间依赖者的爱因斯坦冷凝物内部在一个逐出的抛物线的潜力的原子相互作用。然后，二个 anlytical 解决方案的动力学被计算机模拟包括管理 Feshbach 的非线性的系数和夸张正割函数系数在一些可选的参数下面表明。
In the paper, the generalized Riccati equation rational expansion method is presented. Making use of the method and symbolic computation, we present three families of exact analytical solutions of Bose–Einstein condensates with the time-dependent interatomic interaction in an expulsive parabolic potential. Then the dynamics of two anlytical solutions are demonstrated by computer simulations under some selectable parameters including the Feshbach-managed nonlinear coefficient and the hyperbolic secant function coefficient.
Both dark and bright solitons are constructed exactly for a Bose–Einstein condensation with a time-dependent scattering length in an expulsive parabolic potential. It is shown analytically how the size of the cloud and the sharp peak of the condensate changes via the Feshbach resonance. It is also found that the atom loss due to three-body recombination can be controlled with the help of Feshbach resonance. The exact calculation is performed to compare the rate of the atom loss between the system with time-dependent scattering length in an expulsive parabolic potential and the system with constant scattering length.
我们与在一个复杂潜力散布长度的时间依赖者认为描述鲍斯·爱因斯坦的动力学的一个维的非线性的 Schrodinger 方程是冷凝物。我们的结果证明只要 integrable 关系满足，一个维的非线性的 Schrodinger 方程的准确答案能在一种一般关上的形式被发现，并且在二 solitons 之间的相互作用在一个复杂潜力被调制。我们发现散布长度和套住的潜力的变化能有效地被用来控制在二明亮的 soliton 之间的相互作用。