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

Physics Letters A

Dynamics of analytical three-dimensional matter-wave solutions in Bose–Einstein condensates with multi-body interactions

Hai-Qin Jin, Wei Dai, Aihong Tong, Zebin Cai, Jian-Chu Liang, Jun-Rong He

Published Feb 12, 2014• 2 citations
Publisher
DOI
10.1016/j.physleta.2014.01.055

Related papers

Dynamics of Matter-Wave Solitons in Multi-component Bose-Einstein Condensates

Emmanuel Kengne, Wu‐Ming Liu

Springer eBooks•Jan 1, 2022•0 citations

Dynamics of Analytical Matter-Wave Solutions in Three-Dimensional Bose—Einstein Condensates with Two- and Three-Body Interactions

Hai-Qin Jin, Jun-Rong He, Jian-Chu Liang +2 more

Using the F-expansion method we present analytical matter-wave solutions to Bose—Einstein condensates with two- and three-body interactions through the generalized three-dimensional Gross—Pitaevskii equation with time-dependent coefficients, for the periodically time-varying interactions and quadratic potential strength. Such solutions exist under certain conditions, and impose constraints on the functions describing potential strength, nonlinearities, and gain (loss). Various shapes of analytical matter-wave solutions which have important applications of physical interest are studied in details.

Communications in Theoretical Physics•Feb 1, 2014•2 citations

Localized nonlinear matter waves in a Bose–Einstein condensate with spatially inhomogeneous two- and three-body interactions

Deng‐Shan Wang, Xiang‐Gui Li

We investigate the profiles and stability of the localized nonlinear matter waves in a Bose–Einstein condensate with spatially inhomogeneous two- and three-body interactions in various external potentials both analytically and numerically. Several families of localized stationary solutions of the one-dimensional mean-field Gross–Pitaevskii equation with cubic–quintic nonlinearities are obtained by similarity transformation. It is shown that the whole Bose–Einstein condensate can have an infinite number of localized nonlinear matter waves determined by certain non-negative integers. The linear and dynamical stabilities of the localized stationary solutions are studied numerically, and some stable localized nonlinear matter waves are found. We demonstrate that the attractive inhomogeneous two- and three-body interactions support linearly and dynamically stable localized nonlinear matter waves, but attractive two-body interaction along with repulsive three-body interaction destroys the linear stability. Moreover, an anharmonic potential is proposed to stabilize the localized nonlinear matter waves in the Bose–Einstein condensate with spatially inhomogeneous interactions.

Journal of Physics B Atomic Molecular and Optical Physics•Apr 27, 2012•14 citations

Many-Body Schrödinger Dynamics of Bose-Einstein Condensates

Kaspar Sakmann

Springer eBooks•Jan 1, 2011•25 citations

Dynamics of Bose-Einstein Condensates

Wu‐Ming Liu

•Dec 1, 2006•2 citations

Dynamics of Analytical Matter-Wave Solutions in One-Dimensional Bose-Einstein Condensates with Two- and Three-Body Interactions

Hai-Qin Jin, Jun-Rong He, Bin Xu +1 more

Using the F-expansion method, we present analytical matter-wave solutions to Bose-Einstein condensates with two- and three-body interactions through the generalized onedimensional Gross-Pitaevskii equation with time-dependent coefficients, for the experimentally relevant quadratic potential strength. Various shapes of the analytical matter-wave solutions which have important applications of physical interest are studied in detail. In particular, the matter-wave solitons are obtained in the quintic Gross-Pitaevskii equation model, which may be produced by tuning the cubic nonlinearity to zero via the Feschbach resonance technique. Direct numerical simulation has been performed to show the stable region of the matter-wave soliton.

Chinese Journal of Physics•Apr 1, 2014•0 citations
Using the F-expansion method we present analytical matter-wave solutions to Bose—Einstein condensates with two- and three-body interactions through the generalized three-dimensional Gross—Pitaevskii equation with time-dependent coefficients, for the periodically time-varying interactions and quadratic potential strength. Such solutions exist under certain conditions, and impose constraints on the functions describing potential strength, nonlinearities, and gain (loss). Various shapes of analytical matter-wave solutions which have important applications of physical interest are studied in details.
We investigate the profiles and stability of the localized nonlinear matter waves in a Bose–Einstein condensate with spatially inhomogeneous two- and three-body interactions in various external potentials both analytically and numerically. Several families of localized stationary solutions of the one-dimensional mean-field Gross–Pitaevskii equation with cubic–quintic nonlinearities are obtained by similarity transformation. It is shown that the whole Bose–Einstein condensate can have an infinite number of localized nonlinear matter waves determined by certain non-negative integers. The linear and dynamical stabilities of the localized stationary solutions are studied numerically, and some stable localized nonlinear matter waves are found. We demonstrate that the attractive inhomogeneous two- and three-body interactions support linearly and dynamically stable localized nonlinear matter waves, but attractive two-body interaction along with repulsive three-body interaction destroys the linear stability. Moreover, an anharmonic potential is proposed to stabilize the localized nonlinear matter waves in the Bose–Einstein condensate with spatially inhomogeneous interactions.
Using the F-expansion method, we present analytical matter-wave solutions to Bose-Einstein condensates with two- and three-body interactions through the generalized onedimensional Gross-Pitaevskii equation with time-dependent coefficients, for the experimentally relevant quadratic potential strength. Various shapes of the analytical matter-wave solutions which have important applications of physical interest are studied in detail. In particular, the matter-wave solitons are obtained in the quintic Gross-Pitaevskii equation model, which may be produced by tuning the cubic nonlinearity to zero via the Feschbach resonance technique. Direct numerical simulation has been performed to show the stable region of the matter-wave soliton.