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

Communications in Theoretical Physics

Exact Analytical Solutions to the Two-Mode Mean-Field Model Describing Dynamics of a Split Bose–Einstein Condensate

Ying Wu, Xiaoxue Yang

Published Apr 15, 2002• 9 citations
Publisher

Abstract

We present the analytical solutions to the two-mode mean-field model for a split Bose–Einstein condensate. These explicit solutions completely determine the system's dynamics under the two-mode mean-field approximation for all possible initial conditions.
DOI
10.1088/0253-6102/37/4/413

Related papers

Exact Analytical Solutions to the Two—Mode Mean—Field Model Describing Dynamics of a Split Bose—Einstein Condensate

WUYing, YANGXiao-Xue

We present the analytical solutions to the two-mode mean-field model for a split Bose Einstein condensate.These explicit solutions completely determine the system's dynamics under the two-mode mean-field approximation for all possible initial conditions.

理论物理通讯:英文版•Jan 1, 2002•0 citations

SU(2) Coherent State Description of Two—Mode Bose—Einstein Condensates

WUYing, YANGXiao-Xue

We show that the evolution equations for mean quantities such as atom numbers and the inter-modecorrelation for two-mode Bose-Einstein condensates form a closed set of equations in the SU(2) coherent state description,and they are identical in form to the two-mode mean-field model with only a slightly reduced two-body interactionstrength. The exact analytical solutions to the evolution equations are also presented.

理论物理通讯:英文版•Jan 1, 2002•0 citations

SU(2) Coherent State Description of Two-Mode Bose–Einstein Condensates

Ying Wu, Xiaoxue Yang

We show that the evolution equations for mean quantities such as atom numbers and the inter-mode correlation for two-mode Bose–Einstein condensates form a closed set of equations in the SU(2) coherent state description, and they are identical in form to the two-mode mean-field model with only a slightly reduced two-body interaction strength. The exact analytical solutions to the evolution equations are also presented.

Communications in Theoretical Physics•May 15, 2002•9 citations

Exact solutions of the two-mode model of multicomponent Bose-Einstein condensates

Vadym E. Vekslerchik, Víctor M. Pérez‐García

We find the explicit solution of a two--mode model used to explain vortex dynamics in multicomponent Bose-Einstein condensates. We prove that all the solutions are constants or periodic functions and give explicit formulae for the time evolution of the populations of the two atomic species present in the condensate.

arXiv:cond-mat/0106535•Jun 26, 2001•0 citations

Exact solution of the two-mode model of multicomponent Bose-Einstein condensates

Vadym E. Vekslerchik, Víctor M. Pérez‐García

We find the explicit solution of the so-called two-mode model for multicomponent Bose-Einstein condensates. We prove that all the solutions are constants or periodic functions and give explicit formulae for them.

Discrete and Continuous Dynamical Systems - B•Jan 1, 2003•5 citations

Exact analytical solution for quantum spins mixing in spin-1 Bose–Einstein condensates

Ai-Xi Chen, Qiu Wan-ying, Zhiping Wang

This paper solves exactly a set of fully quantized coupled equations describing the quantum dynamics of quantum spins mixing in spin-1 Bose–Einstein condensates by deriving the exact explicit analytical expressions for the evolution of creation and annihilation operators.

Chinese Physics B•Nov 1, 2008•5 citations