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

arXiv:cond-mat/0205464 · Physica D Nonlinear Phenomena

Dynamics of a trapped 2D Bose–Einstein condensate with periodically and randomly varying atomic scattering length

F. Kh. Abdullaev, Jared C. Bronski, R. M. Galimzyanov

Published Sep 12, 2003• 23 citations
arXivHTMLPDF
DOI
10.1016/s0167-2789(03)00228-8

Related papers

Bose–Einstein Condensates in 2D with Time-Periodic Scattering Length

F. Kh. Abdullaev, Jean-Guy Caputo, R. A. Kraenkel +1 more

Journal of Low Temperature Physics•Jan 1, 2004•2 citations

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

Huamei Li

理论物理通讯：英文版•Jan 15, 2007•0 citations

Resonances in a trapped 3D Bose–Einstein condensate under periodically varying atomic scattering length

F. Kh. Abdullaev, R. M. Galimzyanov, Marijana Brtka +1 more

Nonlinear oscillations of a 3D radial symmetric Bose-Einstein condensate under periodic variation in time of the atomic scattering length have been studied analytically and numerically. The time-dependent variational approach is used for the analysis of the characteristics of nonlinear resonances in the oscillations of the condensate. The bistability in oscillations of the BEC width is invistigated. The dependence of the BEC collapse threshold on the drive amplitude and parameters of the condensate and trap is found. Predictions of the theory are confirmed by numerical simulations of the full Gross-Pitaevski equation.

arXiv:cond-mat/0405671•Journal of Physics B Atomic Molecular and Optical Physics•Aug 25, 2004•25 citations

Self-Trapping of Two Weakly Coupled Bose–Einstein Condensates with Oscillating Atomic Scattering Length

Qiongtao Xie

We investigate the self-tapping phenomena for two weakly coupled Bose–Einstein condensates with a rapid periodic modulation of the atomic scattering length. By using an averaging method, the equations of motion of the slow dynamics are derived to analyze the self-trapping behavior. It is shown numerically that under certain conditions, an alternative self-trapping in either well appears.

Communications in Theoretical Physics•May 1, 2009•2 citations

Dynamics of Bright/Dark Solitons in Bose–Einstein Condensates with Time-Dependent Scattering Length and External Potential

Ai‐Xia Zhang, Xue Ju-Kui

We present an analytical study on the dynamics of bright and dark solitons in Bose–Einstein condensates with time-varying atomic scattering length in a time-varying external parabolic potential. A set of exact soliton solutions of the one-dimensional Gross–Pitaevskii equation are obtained, including fundamental bright solitons, higher-order bright solitons, and dark solitons. The results show that the soliton's parameters (amplitude, width, and period) can be changed in a controllable manner by changing the scattering length and external potential. This may be helpful to design experiments.

Chinese Physics Letters•Jan 1, 2008•23 citations

Nonlinear Dynamics of Trapped Bose-Einstein Condensates

Yeong E. Kim, Alexander L. Zubarev

APS•May 1, 2002•0 citations
Nonlinear oscillations of a 3D radial symmetric Bose-Einstein condensate under periodic variation in time of the atomic scattering length have been studied analytically and numerically. The time-dependent variational approach is used for the analysis of the characteristics of nonlinear resonances in the oscillations of the condensate. The bistability in oscillations of the BEC width is invistigated. The dependence of the BEC collapse threshold on the drive amplitude and parameters of the condensate and trap is found. Predictions of the theory are confirmed by numerical simulations of the full Gross-Pitaevski equation.
We present an analytical study on the dynamics of bright and dark solitons in Bose–Einstein condensates with time-varying atomic scattering length in a time-varying external parabolic potential. A set of exact soliton solutions of the one-dimensional Gross–Pitaevskii equation are obtained, including fundamental bright solitons, higher-order bright solitons, and dark solitons. The results show that the soliton's parameters (amplitude, width, and period) can be changed in a controllable manner by changing the scattering length and external potential. This may be helpful to design experiments.